Quiz about Quadratic Transformations (7C)

Question 1

Which equation shifts down?

Accepted Answer

$$f\left(x\right)-2.5$$

Answer

$$\left(x-8\right)^2$$

Answer

$$f\left(x+2.5\right)$$

Answer

$$x^2+8$$

Question 2

Which equation shifts up?

Accepted Answer

$$x^2+8$$

Answer

$$f\left(x\right)-2.5$$

Answer

$$\left(x-8\right)^2$$

Answer

$$f\left(x+2.5\right)$$

Question 3

Which equation shifts left?

Accepted Answer

$$f\left(x+2.5\right)$$

Answer

$$f\left(x\right)-2.5$$

Answer

$$\left(x-8\right)^2$$

Answer

$$x^2+8$$

Question 4

Which equation shifts right?

Accepted Answer

$$\left(x-8\right)^2$$

Answer

$$f\left(x\right)-2.5$$

Answer

$$f\left(x+2.5\right)$$

Answer

$$x^2+8$$

Question 5

The graph of $$f\left(x\right)\ =\ x^2$$ was transformed to create $$g\left(x\right)\ =\ f\left(x\right)\ -\ 9$$ .

Which of the following represents the vertex of g(x)?

Accepted Answer

(0, -9)

Answer

(0, 9)

Answer

(9, 0)

Answer

(-9, 0)

Answer

(0, 0)

Question 6

The graph of $$f\left(x\right)\ =\ x^2$$ was transformed to create $$g\left(x\right)\ =\ f\left(x\right)\ +\ 9$$ .

Which of the following represents the vertex of g(x)?

Accepted Answer

(0, 9)

Answer

(9, 0)

Answer

(-9, 0)

Answer

(0, -9)

Answer

(0, 0)

Question 7

The graph of $$f\left(x\right)\ =\ x^2$$ was transformed to create $$g\left(x\right)\ =\ f\left(x-9\right)$$ .

Which of the following represents the vertex of g(x)?

Accepted Answer

(9, 0)

Answer

(0, 9)

Answer

(-9, 0)

Answer

(0, -9)

Answer

(0, 0)

Question 8

The graph of $$f\left(x\right)\ =\ x^2$$ was transformed to create $$g\left(x\right)\ =\ f\left(x+9\right)$$ .

Which of the following represents the vertex of g(x)?

Accepted Answer

(-9, 0)

Answer

(0, 9)

Answer

(9, 0)

Answer

(0, -9)

Answer

(0, 0)

Question 9

The graph of $$f\left(x\right)\ =\ x^2$$ was transformed to create $$g\left(x\right)\ =\ 9f\left(x\right)$$ .

Which of the following represents the vertex of g(x)?

Accepted Answer

(0, 0)

Answer

(0, 9)

Answer

(9, 0)

Answer

(-9, 0)

Answer

(0, -9)

Question 10

The graph of $$f\left(x\right)\ =\ x^2$$ was transformed to create $$g\left(x\right)\ =-\ 9f\left(x\right)$$ .

Which of the following represents the vertex of g(x)?

Accepted Answer

(0, 0)

Answer

(0, 9)

Answer

(9, 0)

Answer

(-9, 0)

Answer

(0, -9)

Question 11

Which TWO transformations cause the graph to become narrower?

Accepted Answer

$$f\left(\frac{7}{5}x\right)$$

Accepted Answer

$$\frac{3}{2}x^2$$

Answer

$$\frac{5}{7}f\left(x\right)$$

Answer

$$\frac{2}{3}x^2$$

Question 12

Which TWO transformations cause the graph to become wider?

Accepted Answer

$$\frac{5}{7}f\left(x\right)$$

Accepted Answer

$$\frac{2}{3}x^2$$

Answer

$$f\left(\frac{7}{5}x\right)$$

Answer

$$\frac{3}{2}x^2$$

Question 13

Which TWO transformations cause the graph to become wider?

Accepted Answer

$$\frac{6}{8}f\left(x\right)$$

Accepted Answer

$$\frac{1}{4}x^2$$

Answer

$$f\left(\frac{8}{6}x\right)$$

Answer

$$\frac{4}{1}x^2$$

Question 14

Which TWO transformations cause the graph to become narrower?

Accepted Answer

$$f\left(\frac{8}{6}x\right)$$

Accepted Answer

$$\frac{4}{1}x^2$$

Answer

$$\frac{6}{8}f\left(x\right)$$

Answer

$$\frac{1}{4}x^2$$

Question 15

Which TWO transformations cause the graph to reflect?

Accepted Answer

$$-2f\left(x\right)$$

Accepted Answer

$$-\frac{1}{2}x^2$$

Answer

$$f\left(2x\right)$$

Answer

$$\frac{1}{2}x^2$$

Question 16

Which equation is transformed by a reflection and horizontal stretch?

Accepted Answer

$$-\left(\frac{1}{3}x\right)^2$$

Answer

$$-6x^2$$

Answer

$$\left(9x\right)^2$$

Answer

$$\frac{2}{3}x^2$$

Question 17

Which equation is transformed by a reflection and vertical stretch?

Accepted Answer

$$-6x^2$$

Answer

$$\left(9x\right)^2$$

Answer

$$\frac{2}{3}x^2$$

Answer

$$-\left(\frac{1}{3}x\right)^2$$

Question 18

Which equation is transformed by a horizontal compression?

Accepted Answer

$$\left(9x\right)^2$$

Answer

$$-6x^2$$

Answer

$$\frac{2}{3}x^2$$

Answer

$$-\left(\frac{1}{3}x\right)^2$$

Question 19

Which equation is transformed by a vertical compression?

Accepted Answer

$$\frac{2}{3}x^2$$

Answer

$$-6x^2$$

Answer

$$\left(9x\right)^2$$

Answer

$$-\left(\frac{1}{3}x\right)^2$$

Question 20

The parent function was transformed to $$f\left(n\ x\right)$$ .

What could be a potential number for n?

(original is dotted)

Accepted Answer

$$-\frac{1}{4}$$

Answer

$$-3$$

Answer

$$\frac{5}{12}$$

Answer

$$\frac{3}{2}$$

Question 21

The parent function was transformed to $$f\left(n\ x\right)$$ .

What could be a potential number for n?

(original is dotted)

Accepted Answer

$$-3$$

Answer

$$-\frac{1}{4}$$

Answer

$$\frac{5}{12}$$

Answer

$$\frac{3}{2}$$

Question 22

The parent function was transformed to $$f\left(n\ x\right)$$ .

What could be a potential number for n?

(original is dotted)

Accepted Answer

$$\frac{5}{12}$$

Answer

$$-3$$

Answer

$$-\frac{1}{4}$$

Answer

$$\frac{3}{2}$$

Question 23

The parent function was transformed to $$f\left(n\ x\right)$$ .

What could be a potential number for n?

(original is dotted)

Accepted Answer

$$\frac{3}{2}$$

Answer

$$-3$$

Answer

$$-\frac{1}{4}$$

Answer

$$\frac{5}{12}$$

Quadratic Transformations (7C)

59 questions

Which equation shifts down?

Which equation shifts up?

Which equation shifts left?

Which equation shifts right?

Which equation represents the following graph?
(a)

Which equation represents the following graph?
(a)

Which equation represents the following graph?
(a)

Which equation represents the following graph?
(a)

Which equation represents the following graph?
(a)

Which equation represents the following graph?
(a)

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Quadratic Transformations (7C)

59 questions

Which equation shifts down?

Which equation shifts up?

Which equation shifts left?

Which equation shifts right?

Which equation represents the following graph? ​ (a)

Which equation represents the following graph? ​ (a)

Which equation represents the following graph? ​ (a)

Which equation represents the following graph? ​ (a)

Which equation represents the following graph? ​ (a)

Which equation represents the following graph? ​ (a)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which equation represents the following graph?
(a)

Which equation represents the following graph?
(a)

Which equation represents the following graph?
(a)

Which equation represents the following graph?
(a)

Which equation represents the following graph?
(a)

Which equation represents the following graph?
(a)