Topics
6. Relations
topic badge
CanadaON
Grade 9

6.08 Transformations of y=x

Lesson
Worksheet
Practice

Interactive practice questions

The lines $y=x+2$y=x+2 (black line) and $y=x$y=x (grey line) have been graphed on the same set of axes.

Loading Graph...

Two lines are graphed on the Cartesian coordinate plane. The graph of line $y=x+2$y=x+2 is in black and passes through points $0,2$0,2 and $-2,0$−2,0. The graph of line $y=x$y=x is in grey and passes through the origin $0,0$0,0 and point $1,1$1,1. The x- and y- axes are labeled and both ranges from -6 to 6.
a

Is the line $y=x+2$y=x+2 increasing or decreasing?

Increasing

A

Decreasing

B
b

Is it steeper, flatter or equally steep as $y=x$y=x?

equally steep

A

steeper

B

flatter

C
Easy
< 1min

Consider the graph of $y=x-4$y=x−4.

Easy
1min

Consider the graph of $y=4-x$y=4−x.

Easy
1min

Consider the graph of $y=x$y=x. If this graph is translated $2$2 units down, which of the following would be the graph of the new line?

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

Outcomes

9.C4.3

Translate, reflect, and rotate lines defined by y = ax, where a is a constant, and describe how each transformation affects the graphs and equations of the defined lines.

What is Mathspace

About Mathspace