Cubic and Cube Root Transformations

Cubic and Cube Root Transformations

Assessment

Flashcard

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSF.BF.B.3, 8.EE.A.2

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 cubic function?

Back

A cubic function is a polynomial function of degree three, typically expressed in the form f(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants and a ≠ 0.

2.

FLASHCARD QUESTION

Front

How many x-intercepts can a cubic function have?

Back

A cubic function can have 1, 2, or 3 x-intercepts.

3.

FLASHCARD QUESTION

Front

What is the parent function of cubic functions?

Back

The parent function of cubic functions is f(x) = x^3.

4.

FLASHCARD QUESTION

Front

What does it mean to translate a function left 4 units?

Back

Translating a function left 4 units means to replace x with (x + 4) in the function's equation.

5.

FLASHCARD QUESTION

Front

What is a vertical stretch in transformations?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

6.

FLASHCARD QUESTION

Front

What is a horizontal compression in transformations?

Back

A horizontal compression occurs when the input values of a function are multiplied by a factor greater than 1, making the graph narrower.

Tags

CCSS.HSF.BF.B.3

7.

FLASHCARD QUESTION

Front

How do you identify the transformation of g(x) = (x - 1)^3?

Back

This function represents a horizontal translation to the right by 1 unit of the parent function f(x) = x^3.

Tags

CCSS.HSF.BF.B.3

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