Understanding Radical Functions and Their Transformations

Understanding Radical Functions and Their Transformations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

Miss Smith's tutorial explains how to write radical functions from graphs. It covers identifying reflections over the x and y axes, determining endpoints, and writing equations. The video includes examples of standard radicals, reflections over the x-axis, y-axis, and both axes.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic discussed in the video?

Writing radical functions from a graph

Understanding logarithmic functions

Graphing linear equations

Solving quadratic equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a positive sign in a radical function indicate?

The function is shifted vertically

The function is flipped over the y-axis

The function is in its standard form

The function is flipped over the x-axis

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does a negative sign affect a radical function?

It reflects the function over the x-axis

It stretches the function vertically

It reflects the function over the y-axis

It shifts the function horizontally

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in determining the equation of a radical function from a graph?

Determine the slope

Identify the y-intercept

Calculate the area under the curve

Find the endpoint

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 1, what is the endpoint of the graph?

(1, 2)

(0, 0)

(3, 4)

(-1, -1)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 2, how is the graph reflected?

Over the x-axis

Over the y-axis

Not reflected

Over both axes

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 3, what is the value of 'a' in the equation?

1

3

2

4

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 4, what is the significance of having two negative signs?

The function is reflected over both axes

The function is shifted vertically

The function is in its standard form

The function is stretched horizontally

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if you see a negative sign inside the parentheses of a radical function?

Shift the function vertically

Reflect the function over the y-axis

Reflect the function over the x-axis

Ignore it

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