USLI5
3) Graph the quadratic function given in factored form and identify the key features. Include at least 5 points on your
graph.
y=(- 3)(x + 1)
Zeros:
Axis of Symmetry:
Vertex:
Y-intercept:
Domain:
Range:
U3LT4
4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)

USLI53) Graph The Quadratic Function Given In Factored Form And Identify The Key Features. Include At

Answers

Answer 1
For #3.

Zeros are 3 and -1 (plot them on the x-axis as a point)

Axis of symmetry is halfway between those so it’s: x=1

Vertex is (1, -4)

Y-intercept is (0,-3)

Domain is always all real numbers
Range is y is greater than or equal to -3

Answer 2

3. Graph the given quadratic function in the factored form as shown below.

4. The quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

The given quadratic function in factored form is y = (x - 3)(x + 1).

Graph of the given quadratic function in the factored form as shown below.

Zeros: The zeros of the function occur when y = 0.

So the zeros of the function are x = 3 and x = -1.

Axis of Symmetry:  

The axis of symmetry is x = (3 + (-1)) / 2 = 1.

Vertex:

The vertex is (1, -4).

Y-intercept:

The y-intercept is (0, -3).

Domain: The domain of a quadratic function is all real numbers, so the domain is (-∞, ∞).

Range: Since the coefficient of the x² term is positive, the parabola opens upward. Therefore, the range is y ≥ -4.

Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)

Using the given information, the vertex form equation can be written as:

[tex]y = a(x - (-1))^2 + 3[/tex]

To find the value of 'a,' we can substitute the coordinates (1, -5) into the equation:

-5 = a(1 - (-1))² + 3

-5 = a(2)² + 3

-5 = 4a + 3

-8 = 4a

a = -2

Plugging the value of 'a' back into the equation, we get the quadratic equation in vertex form:

y = -2(x + 1)² + 3

Therefore, the quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

Learn more about quadratic function here:

brainly.com/question/14083225

#SPJ2

USLI53) Graph The Quadratic Function Given In Factored Form And Identify The Key Features. Include At

Related Questions

Karen and James both had 30 stocking stuffer items on their shopping list. After black Friday shopping Karen had finished 35% of her shopping After black Friday shopping James had finished 60% of his shopping HOW MANY MORE items has James purchased than Karen?

Answers

Answer: 7.5 items

Step-by-step explanation:

Both Karen and James had 30 stocking items.

Karen bought 35% of her items;

= 35% * 30

= 10.5 items

James has bought 60%;

= 60% * 30

= 18 items

= 18 - 10.5

= 7.5 items

12 - x

If x = 7, what is the value of the expression above?

Answers

Answer:

5

Step-by-step explanation:

12-7=5

Answer:

5

Step-by-step explanation:

We know that x is equal to 7. That means we can replace x with this value. This makes our new expression:

12 - 7

12-7 is equal to 5, so this expression will equal 5 when x = 7.

Plz help my teacher isn’t emailing my back

Answers

Answer:

ugh'

Step-by-step explanation:

12 and  4 i could be wrong sozStep-by-step explanation:

helpppp i need the answer fast it’s timed

Answers

The third one is your answer!!!

Gary's pay is $15 per hour. He receives a 6% pay raise.

Answers

The question is incomplete, the complete question is;

Gary's pay is $15 per hour. He receives a 6% pay raise.

Which method can Gary use to correctly calculate his new hourly pay rate?

Choose Yes or No for each method.

Answer:

Multiply 15 by 0.06 and add the result to 15 is the correct method

Step-by-step explanation:

Now when you are told to obtain the percentage, it simply means to multiply the given percentage by the number.

Here is what i mean;

6% of 15 simply means

6/100 * 15

Or

0.06 * 15 = 0.9

Since his basic pay of $15 was increased by this percentage, we have to add $0.9 so we have;

15 + 0.9 = $ 15.9

If this is this then what is what

Answers

Answer:I feel like I should understand this

Step-by-step explanation:

Ummmmmmmmmmmmmmmmymhhhh

What is the approximate circumference of the circle shown below

Answers

Answer: A) 46.5 cm

Step-by-step explanation:

Circumference = 2 π r or Circumference = π d

In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.

π ≈ 3.14.

We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.

C = π d

= (3.14)(14.8)

= 46.47 cm, which rounds to 46.5 cm

What's the answer? I need help asap

Answers

The two triangles are congruent through AA (angle-angle proportionality theorem) therefore all the sides are congruent to each other.

In this case:

2y = 5y - 7

2y - 5y = -7

-3y = -7

y = -7/-3

y = 7/3

please help me on this! will give you brainliest, ty:,

Answers

Answer: 4^9

Step-by-step explanation:

4^-7 is just 1/4^7 so this is equal to 4^2 divided by 1/4^7. Dividing by a fraction is the same thing as multiplying by its reciprocal (just flip the fraction). So this whole equation is equal to 4^2 multiplied by 4^7. And when you multiply two exponents with the same base, the exponents are just added. So, your answer should be 4^9. Hope this helps! :)

Thomas can process a pile of paperwork in 4 hours less time than Frank. Together they can process the pile in 2.1 hours. How long would it take Frank to do the job alone?

Answers

Answer:

F = 7 hours

Step-by-step explanation:

Let the time taken by Frank to work alone be F.

Translating the word problem into an algebraic equation;

Thomas alone takes (F - 4) hours.

Combine time = 2.1 hours

Their individual work rate expressed in piles per hour are;

Frank = 1/F

Thomas = 1/(F - 4)

Combined rate = 1/F + 1/(F - 4)

Simplifying the equation, we have;

Combined rate = (F - 4 + F)/F(F - 4)

Combined rate = (2F - 4)/F(F - 4)

Combined rate = (2F - 4)/(F²- 4F)

Now to find the time taken when they work together is;

(2F - 4)/(F²- 4F) = 1/2.1

Cross-multiplying, we have;

2.1*(2F - 4) = F² - 4F

4.2F - 8.4 = F² - 4F

Rearranging the equation, we have;

F² - 4.2F - 4F + 8.4 = 0

F² - 8.2F + 8.4 = 0

Solving the quadratic equation by factorization;

Factors = -7 and -1.2

F² - 7F - 1.2F + 8.4 = 0

F(F - 7) - 1.2(F - 7) = 0

(F - 7)(F - 1.2) = 0

Therefore, F = 7 or 1.2 hours

The time taken by Frank alone would be 7 hours.

Kedwin can watch movies at home in two ways. He can order unlimited online movies for $10 a month. He could also go to the local movie rental store and rent 5 movies for $4.00. The system representing this scenario is graphed below.
How many movies does Kedwin need to rent each month to make the online option a better deal?
a. 10 movies per month
b. 10.40 movies per month
c. 12.5 movies per month
d. 13 movies per month

Answers

Answer:

I believe the answer is D.)13 movies per month.

Step-by-step explanation:

Answer:

D. 13 movies per month.

Step-by-step explanation:

Is x = 3 a solution to the equation below? (substitute and check if they equal each other)
2(2x+1)+x=8x+2-3x


need step by step explanation

Answers

Answer:

yes

Step-by-step explanation:

2(2(3)+1) + 3= 8(3)+2-3(3)

14+3=24+2-9

17=17

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x = 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set Up Equation

29° + (4x + 9)° + (x + 17)° = 180°

Step 2: Solve for x

Combine like terms:                    5x + 55 = 180Isolate x term:                              5x = 125Isolate x:                                       x = 25

write an equation in slope intercept form given slope and point for following (9,-4) slope 2/3 please helpppp

Answers

Answer:

y=2/3x -10

Step-by-step explanation:

y= m x + b

m=slope

slope = 2/3

b= y-intercept

plot point (9,-4) and count down two, left three, until reach y axis.

3.41 rounded to the nearest tenth please help

Answers

Your answer would be 3.4

Anything under 5 it stays the same and anything over 5 it goes up one

Answer:

3.4

Step-by-step explanation:

Find cot 0 if tan 0 = 2

Answers

Answer:

1/2

Step-by-step explanation:

cot0=1/tan0

plug in tan0=2

cot0=1/2

can anyone answer this?

Answers

#12 1000 because their is 2 ticks to $2000 meaning that each tick is $1000

#13 slope =1/2 (up 1 over 2) y intercept= 1 because it starts at y(0,1)

#14 y=1/2x+1
#15 this slope means that the savings account saves on average $2000 dollars every 2months.

I hope this helps if it did please help me out by marking this comment as the brainiest answer. Helps me out a lot goodluck

What is RU?
A.20
B.30
C.12
D.15

Answers

I think the answer to the question is 20

Answer:

a

Step-by-step explanation:

The segment  RT is a perpendicular bisector and means Δ RSU is isosceles, then the 2 legs are congruent, that is

RS = RU , substitute values

8x = 6x + 5 ( subtract 6x from both sides )

2x = 5 ( divide both sides by 2 )

x = 2.5

Thus

RU = 6x + 5 = 6(2.5) + 5 = 15 + 5 = 20 → a

*
4/3*3.14*2.6*2.6*2.6

Answers

Answer:

73.58

Step-by-step explanation: This is just a guess so I may be wrong. So when I put this into the calculator, it is showing a big number: 73.58485333 so what I did was round it to the nearest hundredths which is 73.58 so hope this helps somebody :)

Answer:
689858/9375 or 73.584853

Step by step explanation:
4/3*3.14*2.6*2.6*2.6 - original equation

4/3*157/50*13/5*13/5*13/5 - convert decimals into fractions

2/3*157/25*13/5*13/5*13/5 - reduce the numbers with the GCF (greatest common factor) 2

689858/9375 - multiply the fractions

How can I find the answer for number 1 and 4 with explanation?​

Answers

Answer:

Concept: Sequences & Series

The hint here is to try to find the common factor, you asked us to solve 1 so see the solution below.

1,-3,9, -27 : We see a common base of 3 hence we can find that the series representation is [tex]( - 3) ^{n-1} [/tex]

Next we can find the next 3 terms by just plugging in the values

We want the 6th, 7th, and 8th term

So we plug 6 in for n and 7 in for n and 8 in for n

So we get the 6th term=-243

The 7th term= 729

The 8th term= -2187

Answer:

Step-by-step explanation:

1) 1 , -3 , 9 , -27 , 81 ,...........

It is Geometric sequence

ratio = 2 term ÷ first term = -3 ÷ 1 = -3

1st term = 1

2nd term = 1 * -3 = -3

3rd term = -3 *(-3) = 9

4th term = 9 *(-3) = - 27

6th term = 81 *(-3) = -243

7th  term = -243 *(-3) =  729

8th term = 729 *(-3) = -2187

Next 3 terms:  - 243 , 729 , - 2187,....

4)

[tex]\frac{1}{2}, \frac{1}{2} , \frac{3}{8} , \frac{1}{4} ,\frac{5}{32},.....\\\\\\Rule = \frac{n}{2^{n}}\\Term1 = \frac{1}{2^{1}}=\frac{1}{2}\\\\Term2 = \frac{2}{2^{2}}=\frac{2}{4}=\frac{1}{2}\\\\Term3 = \frac{3}{2^{3}}=\frac{3}{8}\\\\Term4 = \frac{4}{2^{4}}=\frac{4}{16}=\frac{1}{4}\\\\Temr5 = \frac{5}{2^{5}}=\frac{5}{32}\\\\Term6 = \frac{6}{2^{6}} = \frac{6}{64} = \frac{3}{32}\\\\Term7 = \frac{7}{2^{7}}=\frac{7}{128}\\\\Term8 =\frac{8}{2^{8}} = \frac{8}{256}=\frac{1}{32}\\\\[/tex]

Next 3 terms are : 3/32 , 7/128 , 1/32

X ≤ 2 x ≥ 2 -4 < x ≤ -2 -4 < , x, ≤ -2 -4 ≤ x ≤ -2 What is the domain of the function?

Answers

Answer:

really hard and strong but am interested

Write the expanded form of the following:
a) 21.061
b) 0.358
c) 506.0201
d)126.00

Answers

Answer:

a) 21.061

20+1+0.0+0.06+0.001

b)0.358

0+0.3+0.05+0.008

c)506.0201

500+0+6+0.0+0.02+0.000+0.0001

d)126.00

100+20+6

Happy New year ✨

Solve for y
*show your work *


6y - 3x = 12

1/2 x + 1/4 y = 2

Answers

Step-by-step explanation:

if negative sign is there we must add and if positive sign is there subtraction should be written there.....

WILL GIVE BRAINLLIEST
9 is 10% of what number

Answers

Answer: the answer is 90 bro

Step-by-step explanation:

9 is 10% of 90 i think

HELPPPPPPP PLEASE I HAVE TO SUBMIT IN 20 MINS!!!!!!

Answers

4. 81

5. 4-2sqrt(10) and 4+2sqrt(10)

6. (x-8)^2 -62

tell whether the ordered pair is a solution to the system of inequalities

Answers

Answer:

Yes, it is

Step-by-step explanation:

The solution to the inequality are the sets of points that lie where we have the shaded part

The coordinates (3,0) lie on the shaded part and thus will be a solution to the set of inequalities

Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%. How much is Isaac’s total bill? If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that a 7% sales tax is applied to the discounted price. Using words, explain how you found the discounted price.

Answers

Answer:
7.11 and 9.48

Step-by-step explanation:

.12 is equal to 7.11
with out coupon

.12 is equal to 9.48
with the coupon

WHATS THE SLOPE BETWEEN THE POINTS (-2,8) AND (4,20)​

Answers

Answer:

m = 12 / 6 = 2 / 1 = 2

Step-by-step explanation:

1.) Plug the points into the formula Y2-Y1/X2-X1. This should come out to be 20-8/4- -2. The 4 minus -2 turns into 4+2 because a double negative turns into a positive.
2.) You’ll then have 12/6. Divide it out and you get 2/1 or 2.

Answer: Slope is 2/1 or 2

A pound of apple costs $2.50. Represent the cost of n pounds.

Answers

Answer:

2.50n

Step-by-step explanation:

If im reading this right you're trying to represent the number of n pounds, so 2.50 * n

say you had 3 pounds:

2.50 (3) = 7.50

Find the solution of

6
(
2
x
+
1
)
=
54
.

Answers

Answer:x-5

Step-by-step explanation:

-6(2x+1)=54

Distribute:

-12x-6=54

Add 6 on both sides:

-12x-6+6=54+6

-12x=60

Divide 12 on both sides:

-12x/-12=60/-12

x=-5

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