parent graph transformations

parent graph transformations

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7D, HSF-IF.C.7A

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a parent graph?

Back

A parent graph is the simplest form of a function, which serves as a base for transformations. Examples include y = x^2 for quadratic functions and y = |x| for absolute value functions.

2.

FLASHCARD QUESTION

Front

What does it mean to compress a graph vertically?

Back

To compress a graph vertically means to multiply the function by a factor between 0 and 1, which makes the graph 'squish' closer to the x-axis.

3.

FLASHCARD QUESTION

Front

What does it mean to stretch a graph vertically?

Back

To stretch a graph vertically means to multiply the function by a factor greater than 1, which makes the graph 'stretch' away from the x-axis.

4.

FLASHCARD QUESTION

Front

What is a horizontal shift in graph transformations?

Back

A horizontal shift occurs when the graph moves left or right along the x-axis, typically represented by adding or subtracting a value from the x variable in the function.

5.

FLASHCARD QUESTION

Front

What is a vertical shift in graph transformations?

Back

A vertical shift occurs when the graph moves up or down along the y-axis, typically represented by adding or subtracting a value from the entire function.

6.

FLASHCARD QUESTION

Front

How does the equation y = (x - 2)^2 + 4 transform the parent graph y = x^2?

Back

This equation shifts the graph of y = x^2 right by 2 units and up by 4 units.

7.

FLASHCARD QUESTION

Front

What is the effect of a negative sign in front of a quadratic function?

Back

A negative sign in front of a quadratic function reflects the graph across the x-axis.

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