Question

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

Answer 1

Answer:

D isn't the correct answer. It's "It shrinks the graph vertically to 1/2 its original height."

Step-by-step explanation:

I'm not sure why though this is right because I graphed it, and I don't see how that could be the right answer.

Answer 2

Answer:

Option A - It shrinks the graph vertically to 1/2 its original height.

Step-by-step explanation:

Given : In the function $y=\frac{1}{2} x^2$

To find : What effect does the number $\frac{1}{2}$ have on the graph, as compared to the graph of the function $y=x^2$ ?

Solution :

The parent function is $y=x^2$

We have given that  $\frac{1}{2}$ number is multiply to the parent function.

When the unit is multiply to the function gives you vertical stretch or compression

i.e, f(x)→ bf(x), o<b<1 then the function is vertically compressed.

$y=\frac{1}{2} x^2$ As  $0$ means there is vertical compression or shrinks.

Therefore, Option A is correct.

It shrinks the graph vertically to 1/2 its original height.