Transformation of Functions

Transformation of Functions

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.BF.B.3, HSF-IF.C.7A

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the transformation of the function f(x) = x^3 when it is shifted down 4 units?

Back

f(x) = x^3 - 4

Tags

CCSS.HSF.BF.B.3

2.

FLASHCARD QUESTION

Front

How does the function f(x) = (x + 7)^2 transform compared to its parent function?

Back

It shifts horizontally left by 7 units.

3.

FLASHCARD QUESTION

Front

What is the equation for the transformation of y = |x| shifted left 3 units and up 2 units?

Back

y = |x + 3| + 2

4.

FLASHCARD QUESTION

Front

Match the equation y = (x - 2)^2 + 4 with its graph type.

Back

It represents a parabola that opens upwards with vertex at (2, 4).

Tags

CCSS.HSF-IF.C.7A

5.

FLASHCARD QUESTION

Front

Which equation represents a quadratic function translated up 5 units?

Back

y = x^2 + 5

6.

FLASHCARD QUESTION

Front

What is the effect of the transformation f(x) = -x^2?

Back

It reflects the parabola across the x-axis.

7.

FLASHCARD QUESTION

Front

What does the transformation f(x) = (x - 3)^2 do to the parent function f(x) = x^2?

Back

It shifts the graph horizontally right by 3 units.

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