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8-9: Quadratic Transformations

Authored by C K

Mathematics

9th Grade

Used 4+ times

8-9: Quadratic Transformations
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14 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The graph of f(x) = x2x^2 was transformed to create the graph of g(x) = f(x) - 8. Which statement about the graph is true?

The graph of g is a reflection of the graph of f across the x-axis.

The vertex of the graph of g is 8 units to the right of the vertex of the graph of f.

The graph of g is a reflection of the graph of f across the y-axis.

The y-intercept of the graph of g is 8 units below the y-intercept of the graph of f.

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The graph of the parent function f(x) = x2x^2 undergoes the transformations shown below. f(x + 6) Which statement best describes all of the effects on the graph of f(x)=x2f(x) = x^2 ?

The graph of the parent function is shifted horizontally 6 units left.

The graph of the parent function is shifted horizontally 6 units right.

The graph of the parent function is shifted vertically 6 units up.

The graph of the parent function is shifted vertically 6 units down.

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The graph of f(x) = x2x^2 was transformed to create the graph of g(x) = (x−4.5)2(x - 4.5)^2 . Which of these describes this transformation?

A horizontal shift to the right 4.5 units

A horizontal shift to the left 4.5 units

A vertical shift down 20.25 units

A vertical shift up 20.25 units

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The graph of f(x) = x2x^2 was transformed to create the graph of k(x) = f(-x). Which of these describes the transformation from the graph of f to the graph of k?

A horizontal stretch

A vertical stretch

A reflection over the x-axis

A reflection over the y-axis

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If the graph of the quadratic parent function f(x) = x2x^2 is translated 5.8 units up, which of the following equations describes the translated graph?

y=(x+5.8)2y = (x + 5.8)^2

y=(x−5.8)2y = (x - 5.8)^2

y = x2+5.8x^2 + 5.8

y=x2−5.8y = x^2 - 5.8

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The graph of g(x)=x2g(x) = x^2 was transformed to create the graph of h(x)=−g(x)h(x) = -g(x) . Which of these describes the transformation from the graph of gg to the graph of hh ?

A horizontal stretch

A vertical stretch

A reflection over the x-axis

A reflection over the y-axis

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If the graph of the quadratic parent function f(x) = x2x^2 is translated 2.3 units to the right, which of the following equations describes the translated graph?

y=(x+2.3)2y = (x + 2.3)^2

y=(x−2.3)2y = (x - 2.3)^2

y = x2+2.3x^2 + 2.3

y = x2−2.3x^2 - 2.3

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