Transformations of functions

Transformations of functions

Assessment

Flashcard

Mathematics

10th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

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18 questions

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1.

FLASHCARD QUESTION

Front

Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?

Back

a translation shifting f(x) 4 units to the left

2.

FLASHCARD QUESTION

Front

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

Back

Shifted up 5 units
Shifted right 3 units
Stretched vertically by a factor of 3

3.

FLASHCARD QUESTION

Front

Identify the transformation from the graph of f(x)=x2 to the graph g(x)= (x+5)2.

Back

shifted left 5 units

4.

FLASHCARD QUESTION

Front

Which equation describes the transformation of shifting f(x)=x3 seven units up? Options: x3+7, x3-7, (x-7)3, (x+7)3

Back

x3+7

5.

FLASHCARD QUESTION

Front

Which equation describes the transformation of shifting f(x)=x3 four units down? Options: x3+ 4, x3- 4, (x - 4)3, (x + 4)3

Back

x3- 4

6.

FLASHCARD QUESTION

Front

Which equation describes the transformation of shifting f(x)=x3 three units left? Options: x3 + 3, x3 - 3, (x + 3)3, (x - 3)3

Back

(x + 3)3

7.

FLASHCARD QUESTION

Front

Identify the transformation from the graph of f(x)=2x to the graph g(x)=2x-3

Back

shifted down three units

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