In the function y+3=(2x)^2+1 what effect does the number 2 have on the graph, as compared to the graph of y=x^2?

A. It stretches the graph horizontally by a factor of 2
B. It shrinks the graph horizontally to 1/2 the original width
C. It stretches the graph vertically by a factor of 2
D. It shrinks the vertically to 1/2 the original height

Please explain!

Question

In the function y+3=(2x)^2+1 what effect does the number 2 have on the graph, as compared to the graph of y=x^2?

A. It stretches the graph horizontally by a factor of 2
B. It shrinks the graph horizontally to 1/2 the original width
C. It stretches the graph vertically by a factor of 2
D. It shrinks the vertically to 1/2 the original height  

Please explain!

anonymous · Answer

You can see by graphing both graphs. Adding a 2 to the x^2 stretches the graph vertically by a factor of 2.

kj4uts · Answer

I was thinking it was B. It shrinks the graph horizontally to 1/2 the original width?