Parent Function Translations

Parent Function Translations

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

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

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, from which other functions in the same family are derived by transformations such as translations, reflections, and stretches.

2.

FLASHCARD QUESTION

Front

What does a vertical translation of a function do?

Back

A vertical translation shifts the graph of the function up or down without changing its shape.

3.

FLASHCARD QUESTION

Front

How does adding a constant to a function affect its graph?

Back

Adding a constant to a function's output (f(x) + k) translates the graph vertically by k units; if k is positive, it shifts up, and if k is negative, it shifts down.

4.

FLASHCARD QUESTION

Front

What does a horizontal translation of a function do?

Back

A horizontal translation shifts the graph of the function left or right without changing its shape.

5.

FLASHCARD QUESTION

Front

How does subtracting a constant from the input of a function affect its graph?

Back

Subtracting a constant from the input (f(x - h)) translates the graph horizontally to the right by h units; if h is negative, it shifts left.

6.

FLASHCARD QUESTION

Front

What is the effect of the transformation g(x) = f(x) + k?

Back

The transformation g(x) = f(x) + k shifts the graph of f(x) vertically by k units.

7.

FLASHCARD QUESTION

Front

What is the effect of the transformation g(x) = f(x - h)?

Back

The transformation g(x) = f(x - h) shifts the graph of f(x) horizontally to the right by h units.

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