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

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 !!

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tardymanchester tardymanchester · Answer 2 · 2019-01-28T23:46:06-05:00

Answer:

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

Step-by-step 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.