Question

Which statement best compares the graphs of y=-3x^n and y=3x^n?

A.The graph of y=-3x^n is the reflection of the graph of y=3x^n about the y axis
B.The graph of y=-3x^n is the reflection of the graph of y=3x^n about the x axis
C.The graph of y=-3x^n is a 90 degree rotation of the graph of y=3x^n about the origin
D.The graph of y=-3x^n is a translation of the graph of y=3x^n

Answer 1

The graph of y=-3x^n is the reflection of the graph of y=3x^n about the x axis.

Explanation:

If you graph these two functions, then you will notice that they look similar. for example the points of (1,-3) on graph y=-3x^n and point (-1,-3) on graph y=3x^n. They have the same y value but just the reflection of the x value. I hope this helped !!

Answer 2

Option A - The graph of
`y=-3x^n` is the reflection of the graph of
`y=3x^n` about the y axis.

Explanation:

Given : Graph 1-
`y=-3x^n`

Graph 2 -
`y=3x^n`

To find : Which statement best compares the graph

Solution : In graph 1 there is a reflection of the graph 2 about y axis

Reflection about y-axis - The reflection of the point (x,y) across

the y-axis is the point (-x,y).

So, In graph 2
`y=3x^n` point is (x,y).

In graph 1
`y=-3x^n` point is (-x,y)

Therefore, The graph of
`y=-3x^n` is the reflection of the graph of
`y=3x^n` about the y axis. (Refer the attached graph)

Hence, Option A is correct.