Transformations of Functions and Graphs

Transformations of Functions and Graphs

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial introduces the concept of parent functions and their transformations. It covers the basic types of parent functions, including quadratic, cubic, square root, cube root, reciprocal, and absolute value functions. The video explains how transformations such as vertical stretch, vertical shrink, reflection, and shifts affect these functions. It provides four detailed examples demonstrating the transformation process for quadratic, cubic, square root, and cube root functions, highlighting the effects of different transformation parameters.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a characteristic of a quadratic parent function?

It is a straight line.

It has a V-shaped graph.

It has a U-shaped graph.

It is a circle.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to a function when it undergoes a vertical stretch?

The graph becomes wider.

The graph becomes narrower.

The graph shifts to the left.

The graph shifts downward.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the transformation y = 2(x - 1)^2 + 3, what does the '+3' indicate?

A shift to the left by 3 units.

A shift downward by 3 units.

A shift to the right by 3 units.

A shift upward by 3 units.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the function y = -2(x + 2)^3 + 4, what does the '-2' in front of the function signify?

A reflection over the y-axis.

A reflection over the x-axis.

A horizontal stretch.

A vertical stretch.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the transformation of a cubic function, what does a '+2' inside the parentheses indicate?

A shift downward by 2 units.

A shift upward by 2 units.

A shift to the left by 2 units.

A shift to the right by 2 units.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of a vertical shrink on a function's graph?

The graph becomes wider.

The graph becomes narrower.

The graph shifts upward.

The graph shifts downward.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the square root function transformation, what does a vertical stretch by a factor of 3 do?

It shifts the graph to the left.

It shifts the graph to the right.

It makes the graph narrower.

It makes the graph wider.

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