Answered

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 ?

AIt shrinks the graph vertically to 1/2 its original height.
BIt stretches the graph vertically by a factor of 2.
CIt stretches the graph horizontally by a factor of 2.
DIt shrinks the graph horizontally to 1/2 its original width.

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 ?

AIt shrinks the graph vertically to 1/2 its original height.
BIt stretches the graph vertically by a factor of 2.
CIt stretches the graph horizontally by a factor of 2.
DIt shrinks the graph horizontally to 1/2 its original width.

Verified Answer :

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:

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  \(0<\frac{1}{2}<1\) means there is vertical compression or shrinks.

Therefore, Option A is correct.

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

Related Questions