What is the parent function of the absolute value function?

The parent function of the absolute value function is $$y = |x|$$ .

How does a vertical shift affect the graph of a function?

A vertical shift moves the graph up or down. For example, $$y = x^2 + 2$$ shifts the graph of the quadratic function up by 2 units.

What is the effect of a horizontal shift on the graph of a function?

A horizontal shift moves the graph left or right. For example, $$y = (x + 2)^2$$ shifts the graph of the quadratic function left by 2 units.

What is the general form of a quadratic function?

The general form of a quadratic function is $$y = ax^2 + bx + c$$ , where a, b, and c are constants.

What does the term 'parent function' refer to?

A parent function is the simplest form of a function in a family of functions, serving as a reference for transformations.

How do you determine the transformations applied to a parent function?

To determine transformations, compare the given function to its parent function and identify shifts, stretches, or reflections.

What is the parent function of a linear function?

The parent function of a linear function is $$y = x$$ .

What does it mean for a function to be compressed vertically?

A function is compressed vertically when the output values are multiplied by a factor between 0 and 1, making the graph shorter.

Transformations and Parent Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a cubic function?

Back

2.

FLASHCARD QUESTION

Front

How does the graph of a function transform when it is shifted left by 3 units?

Back

3.

FLASHCARD QUESTION

Front

What is the parent function of a cubic function?

Back

4.

FLASHCARD QUESTION

Front

What does it mean for a function to be stretched vertically?

Back

5.

FLASHCARD QUESTION

Front

What is the effect of a negative coefficient in front of a cubic function?

Back

6.

FLASHCARD QUESTION

Front

How do you identify the parent function from a given equation?

Back

7.

FLASHCARD QUESTION

Front

Back

The graph of the function translates right by 3 units.

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