Reflection and Inverse Functions

Reflection and Inverse Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to reflect a line across the line y=x. It starts by introducing the concept of reflection and how to interchange x and y coordinates to find new points. The tutorial then demonstrates how to calculate the slope of the new line and derive its equation. It also covers solving the equation for y and visualizing the reflection on a graph, showing how the original and reflected lines are mirror images across y=x.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial equation of the line before reflection?

y = 3x + 2

y = x + 3

y = 2x + 3

y = 3x - 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the line across which the reflection is performed?

x = y

y = 2x

y = x

x = 2y

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the coordinates of points when they are reflected across y = x?

They are halved

They remain the same

They are doubled

x and y coordinates are interchanged

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the new line after reflection?

-1/3

3

-3

1/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which form is used to plug in a point to find the equation of the line?

Slope-intercept form

Standard form

Intercept form

Point-slope form

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the process called when x and y are interchanged in an equation?

Finding the derivative

Finding the product

Finding the integral

Finding the inverse

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation after interchanging x and y and solving for y?

y = (x - 2) / 3

y = 3x + 2

y = 2x - 3

y = x + 2

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