Question

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

Answer 1

Answer:

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

Step-by-step 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

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.