Absolute Value Functions Graphs

Absolute Value Functions Graphs

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7D

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an absolute value function?

Back

An absolute value function is a function that contains an algebraic expression within absolute value symbols, denoted as f(x) = |x|. It outputs the non-negative value of x.

Tags

CCSS.HSF-IF.C.7D

2.

FLASHCARD QUESTION

Front

How does a vertical stretch affect the graph of an absolute value function?

Back

A vertical stretch multiplies the output of the function by a factor greater than 1, making the graph steeper.

3.

FLASHCARD QUESTION

Front

What does a horizontal shift to the left by 1 unit look like in an absolute value function?

Back

A horizontal shift left by 1 unit is represented as f(x) = |x + 1|, moving the vertex of the graph to the left.

4.

FLASHCARD QUESTION

Front

What is the effect of a vertical shift down by 9 units on the graph of an absolute value function?

Back

A vertical shift down by 9 units is represented as f(x) = |x| - 9, moving the entire graph down by 9 units.

5.

FLASHCARD QUESTION

Front

What is the vertex of the function f(x) = 2|x + 1| - 9?

Back

The vertex of the function f(x) = 2|x + 1| - 9 is at the point (-1, -9).

Tags

CCSS.HSF-IF.C.7D

6.

FLASHCARD QUESTION

Front

How do you identify the graph of f(x) = -|x + 1| + 4?

Back

The graph of f(x) = -|x + 1| + 4 is a downward-opening V shape with its vertex at (-1, 4).

Tags

CCSS.HSF-IF.C.7D

7.

FLASHCARD QUESTION

Front

What does the equation y = |x + 2| + 1 represent graphically?

Back

The equation y = |x + 2| + 1 represents a V-shaped graph with its vertex at (-2, 1).

Tags

CCSS.HSF-IF.C.7D

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