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Transforming Quadratic Equations

Authored by Anthony Clark

Mathematics

9th Grade

AI covered

Used 1+ times

Transforming Quadratic Equations
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

f(x)= 5(x - 2)2

f(x) = 5(x + 2)2

f(x) = (x - 2)2 - 5

f(x) = (x + 2)2 + 5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

If the blue is f(x)=x2, then the red must be

g(x)=x2-5

g(x)=x2+5

g(x)=(x-5)2

g(x)=(x+5)2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which function has a translation of 3 units to the left?

f(x) = 3x2+1

f(x) = (x + 3)2 + 1

f(x) = (x - 3) 2+ 1

f(x) = (x + 1)2- 3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which function has a translation of 7 units down and reflects over the x-axis?

f(x) = -(x - 7)2 + 1

f(x) = (x + 7)2 + 1

f(x) = -(x - 1)2 - 7

f(x) = (x + 1)2 - 7

5.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

The parent function, f(x), is transformed so that it maps into g(x). Which equation would correctly represent g(x)?


(a)  

g(x)=f(x - 3)

g(x)=f(x + 3)

g(x)=f(x) + 3

g(x)=f(x) - 2

6.

LABELING QUESTION

1 min • 1 pt

Label how each number transforms the function

b
c
d
e

Reflected over the x-axis

Moves up 7

Right 3

Stretched by a factor of 2

Left 3

7.

LABELING QUESTION

1 min • 1 pt

Label the graphs with the correct transformation compared to the parent function f(x)=x2f\left(x\right)=x^2

a
b
c
d
e

down

reflected

left

right

up

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