Write a quadratic equation with the given transformations from the parent function y = x2
4) Reflect over x-axis, shift to the left 5 units, shift up 7 units
5) Vertical stretch by a factor of 4, shift down 11 units
6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Answer 2

By Using the Transformations of the parabola

[tex]y = -(x+5)^2+7\\y=4x^{2} +7\\y = -(x-2)^2+3[/tex]

Vertical Translation  move the graph vertically - up or down

[tex]y = x^2+ k[/tex]

Horizontal Translation move the graph horizontally - left or right

[tex]y = (x - h)^2[/tex]

Reflection in x-axis  

flip the graph over the x-axis, (negates the y-values of the coordinates)

[tex]y = -(x^2)[/tex]

Reflection in y-axis

flip the graph over the y-axis,(negates the x-values of the coordinates)

[tex]y = (-x)^2[/tex]

Stretch or Compress Vertically  

stretches away from the x-axis or compresses toward the x-axis

[tex]y = a .x^2[/tex]

| a | > 1 is a stretch;

0 < | a | <1 is a compression

Stretch or Compress Horizontally

stretches away from the y-axis or compresses toward the y-axis

[tex]y=\frac{1}{a} x^{2}[/tex]

| a | > 1 is a compression by factor of 1/a;

0 < | a | <1 is a stretch by factor of 1/a

Now, we have [tex]y=x^2[/tex]

4). Reflect over x-axis, shift to the left 5 units, shift up 7 units

[tex]y = -(x+5)^2+7[/tex]

5) Vertical stretch by a factor of 4, shift down 11 units

[tex]y=4 x^{2} +7[/tex]

6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.

[tex]y=-(x-2)^{2} +3[/tex]

Learn more:https://brainly.com/question/20369546


Related Questions

PLZ HELP!!!!!!!!!!!!!!!!! LOTS OF POINTS!!!!

There are 6 racers who went on a 25 meter race!!
X=time in seconds
Y=distance in meters

1) The winner race D (line purple) won the race in 9.6 seconds! Equation for line y=2.5x+1
How fast was this person traveling? Write in unit rates

2) what would the graph look like if one of the riders fell off their tricycle

Answers

Answer:

0u09u0u

Step-by-step explanation:

8

BRAINLIEST
PLS HELP ASAP IM FAILING

Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4.6), and D(2,2). If it is
reflected over the x-axis, what are the coordinates of B'? (Answer as an ordered pair without spaces)
pair without spaces)

Answers

Answer:

B' (0,-4)

Step-by-step explanation:

When a point undergoes a reflection across the x-axis, it follows this transformation:

(x, y) --> (x, -y)

(0, 4) --> (0, -4)

Help it’s an easy question I’m just dumb please help me!

Find the x-intercept of the rational function.

A. (0,-2)
B. (-2,0)
C. (0,5)
D. (5,0)

Please explain how you got your answer. Thanks

Answers

Answer:

c

Step-by-step explanation:

c i think

The x-intercept is where the graph touches the x-axis. From the picture you sent, it’d be (6,0).

Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?

Answers

The answer is $483.93 just subtract $9 from 492.93

this 5th question ...please answer ​

Answers

Answer:

Im 47 and i have no idea

Step-by-step explanation:

thanks for 5 points

plsssssssssssssss help​

Answers

Answer:

(D). (8, - 5)

Step-by-step explanation:

Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)

Coordinates of the midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

(x² - 10x + 25) + (y² + 2y + 1) = 25

(x - 5)² + (y + 1)² = 5²

(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)

5 = (2 + x) / 2 ⇒ x = 8

- 1 = (3 + y) / 2 ⇒ y = - 5

(D). (8, - 5)

Find the value of c that completes the square

x^2-16x+c

Please help me with how to do this, and show me. Thank you.

Answers

Answer:

The value that completes the square is: c=8

Step-by-step explanation:

Find the value of c that completes the square  [tex]x^2-16x+c[/tex]

The formula used is: [tex]a^2-2ab+b^2=(a-b)^2[/tex]

In the question given the value c can be found by breaking the middle term. we are given -16x while the general formula is 2ab for middle term so,

2(x)(8) = 16x

so, c= 8

Solving:

[tex]x^2-16x+c\\=x^2-2(x)(8)+(8)^2-(8)^2\\=(x-8)^2-64[/tex]

So, the value that completes the square is: c=8

how is an equation of the line that passes through the point (2,3) and has a slope of -6 written?​

Answers

Answer:

y - 3 = -6 (x-2) or y = -6x + 15

Step-by-step explanation:

y-k = m (x-h)

substitute (2,3) for (h,k):

y-3 = m (x-2)

substitute -6 for m:

y - 3 = -6 (x-2)

help mesothelioma this pleaseeee

Answers

For this question I think the answer would be a :)

5x + (x , 3) = 38.4 =?

Answers

This is what X means (I put it in comments too lol)

x = 9.8

A 25 kg rock , is raised to the top of a hill 10 m high. What is the Potential Energy of the rock ?

Answers

Answer:

2450 J

Step-by-step explanation:

mass(m)=25kg

height(h)=10m

gravity(g)=9.8

now,

PE=mgh

=25×10×9.8

=2450J

ANS

What would happen to the product in the following problem:
25×11/11
A.The product will increase
B.The product will decrease
C.the product will stay the same

Answers

A the product will increase

Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an additional $0.08 per mile driven. The second plan has an initial fee of $50 and costs and additional $0.10 per mile driven.

Answers

Questions (contd)

(a) For what amount of driving do the two plans cost the same?

(b) What is the cost when the two plans cost the same?

Answer:

(a) 100 miles

(b) $65

Step-by-step explanation:

Given

Plan 1:

[tex]Initial\ Fee = \$57[/tex]

[tex]Additional = \$0.08[/tex] per mile

Plan 2:

[tex]Initial\ Fee = \$50[/tex]

[tex]Additional = \$0.10[/tex] per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

[tex]y = 57 + 0.08 * x[/tex]

Plan 2:

[tex]y = 50 + 0.10 * x[/tex]

To solve (a), we equate both plans together; i.e.

[tex]y = y[/tex]

[tex]57 + 0.08x = 50 + 0.10x[/tex]

Collect Like Terms

[tex]0.08x - 0.10x= 50 - 57[/tex]

[tex]-0.02x= -2[/tex]

Solve for x

[tex]x = -2/-0.02[/tex]

[tex]x = 100[/tex]

Hence, 100 mile would cost both plans the same

Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

[tex]y = 57 + 0.08 * x[/tex]

[tex]y = 57 + 0.08 * 100[/tex]

[tex]y = 57 + 8[/tex]

[tex]y = 65[/tex]

Hence, the amount is $65

i am in need of help

Answers

Answer:

(in the image)

Step-by-step explanation:

for the slope one - both triangle a and b have a slope of 5/3 (b's goes from 15/9 to 5/3 because of simplifying)

for the second one - 5/3=15/9 because the sides of both triangles correspond

My Answer to that:

5 - 3= 15 - 9 (Statement)- 5/3 = slope (Reason)

Definition of slope (Statement) - triangle A is similar to triangle B (Reason)

- sorry if wrong but that is the answer I would put

Solve for X.Just type the number only, the answer is a positive whole number

Answers

Answer:

7

Step-by-step explanation:

If line l is parallel to line m, therefore:

[tex] 16x + 22 = 134 [/tex] (alternate exterior angles are congruent)

Subtract 22 from each side

[tex] 16x + 22 - 22 = 134 - 22 [/tex]

[tex] 16x = 112 [/tex]

Divide both sides by 16

[tex] \frac{16x}{16} = \frac{112}{16} [/tex]

[tex] x = 7 [/tex]

what value of x makes the equation true ?

Answers

Answer:

x = -7

Step-by-step explanation:

You have to set up an algabraic equasion

2x + 3 = x - 4

-7 = x

Help PLEASE HELP IT FOR MY LOTTLE SIS AND I stink at math soHELP!!

Answers

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

All the fractions can simplify to 2/3

Answer:

3, 6, 15, 12, 33, 16, 3a, 4b

Step-by-step explanation:

re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.      

Please help!!! 40 points and will give brainliest!!

Answers

Answer:

the answer would be

Step-by-step explanation:

i hope this helped

If you add all four together, you get a %400 increase

Pls need help. Due in a few minutes

Answers

Answer:

9x

5x-2+4x+2

9x

Step-by-step explanation:

Please help due in 5 min

Answers

Answer: 4 UNITS LEFT!!!

Step-by-step explanation: I know it!

Please give me brainiest

Hope I helped :)

4 units left of the x-y plane

Type the correct answer in the box. Use numerals instead of words.

Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.

Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10% 0 to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37% > 500,000
Single Taxpayers: Qualified Dividends and Long-Term Capital Gains
Tax Rate Income Bracket
0% 0 to 38,600
15% 38,601 to 425,800
20% > 425,800
The tax rate Laura will pay on her investment income is
%.

Answers

Answer:

22% because her taxable income will now be 40,000 dollars

Step-by-step explanation:

Answer:

15% Plato

Step-by-step explanation:

What is the sum of all integers that are multiples of 4 from 1 to 150? *Show your solution*

Answers

There's a pretty simple formula to follow: count of multiples [tex]*[/tex] average of the multiple.

To find the average, we take the smallest multiple of 4 which is in the range of 1 and 150 which is 4 of course. And the largest would be 148 since that's the only number in the range. So now average them: [tex]\frac{4 + 148}{2} = \frac{152}{2} = 76[/tex]

Now we find the count of the multiples which is in the range of 1 to 150. To do that, we use this formula:

[tex]\frac{\text{largest multiple} - \text{smallest multiple}}{n} \\[/tex]

Here, [tex]n[/tex] is 4 so this would be:

[tex]\frac{148-4}{4} = \frac{144}{4} = 36[/tex]

This would give you the exclusive count of all the numbers, but we want the inclusive count so, we simple add 1 so the count would be [tex]37[/tex]

Now following the 1st formula we get: [tex]37 * 76 = 2812[/tex]

So the answer would be 2812! :D

And here's the check too:

In the U.S. presidential election of 1864, Abraham Lincoln received 2,218,388 of the 4,031,887 votes. About
what fraction of the votes did Lincoln receive?

Answers

I don’t know pay attention in class and I’m not being mean JK it’s 2,251,926

Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

14

Step-by-step explanation:

find the coordinates of the circumcenter of the triangle below

Answers

(2,2) (6,2) (6,8) Hope this helps I’m pretty sure this is correct :)

WILL MARK BRAINLIESTS
and go on my last question please!

Answers

Answer:

125*125

Step-by-step explanation:

Calculate the slope of the line passing through the points (4, 7) and (9, -1).

Answers

the answer is -8/5

ur welcome lolz

Answer:

The slope is -1.6

Rewrite this sentence using BOTH a DOP and an IOP.



Voy a dar una naranja a Juan.

Answers

Answer:

Se la voy a dar., Se la voy a dar, se la voy a dar., se la voy a dar, Se la voy a dar a Juan., Se la voy a dar a Juan, se la voy a dar a Juan., se la voy a dar

Step-by-step explanation:

Can someone check this for me! I am not sure if I did this right

Answers

9514 1404 393

Answer:

  8 seconds

Step-by-step explanation:

Your answer is the time interval at which the projectile is at or above ground level.

The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.

__

Comment

We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.

I NEED HELP can someone find the slope from these equations

Answers

The slope is the number with the x.
y=mx+b with m being slope.
Answers 2, -1/2, and 2/3

Answer:

[tex] \underline{\boxed{if \: y = 2x + \frac{2}{3} \to \: the \: slope\to \boxed{m = 2} }}\\ \underline{\boxed{if \: y = - \frac{1}{2} x - 3 \to \: the \: slope\to \boxed{m = - \frac{1}{2} } }}\\ \underline{\boxed{ if \: y = \frac{2}{3} x\to \: the \: slope\to \boxed{m = \frac{2}{3} }}}\\ [/tex]

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