Horizontal and Vertical Shifts of Quadratic Functions

Horizontal and Vertical Shifts of Quadratic Functions

9th Grade

20 Qs

quiz-placeholder

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Horizontal and Vertical Shifts of Quadratic Functions

Horizontal and Vertical Shifts of Quadratic Functions

Assessment

Quiz

Mathematics

9th Grade

Medium

CCSS
HSF.BF.B.3

Standards-aligned

Created by

Anthony Clark

Used 2+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)2

horizontal shift left 7 units

horizontal shift right 7 units

vertical shift up 7 units

vertical shift down 7 units

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation describes the transformation of shifting f(x)=x2 two units right?

x2 + 2

x2 - 2

(x + 2)2

(x - 2)2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given f(x) = (x-3)2 + 5.  What transformations took place from the original function f(x)?

Left 3 and up 5

Right 3 and down 5

Left 3 and down 5

Right 3 and up 5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Match the equation to its description.

Right 2 and up 2

Left 2 and up 2

Right 2 and down 2

Left 2 and down 2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of these graphs is the same as the parent function y = x2 only shifted 8 units right?

y = (x – 8)2

y = (x + 8)2

y = x2 + 8

y = x2 – 8

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

g(x) = x- 5

g(x) = x+ 5

g(x) = (x - 5)2

g(x) = (x + 5)2

7.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

The graph of the quadratic function q is shown on the grid.

If f(x) = x2 and q(x) = f(x) - n, what is the value of n?

Hint: Plug both functions into Desmos!

Just type in the value, NOT "n= ..."

Answer explanation

Look where your original vertex was and count how many units DOWN it shifted.

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