Question

For the function f(x) = x^2, what effect will multiplying f(x) by 1/4 have on the graph

A. the graph will be compressed horizontally.
B. the graph will be compressed vertically.
C. the graph will be stretched vertically.
D. the graph will be shifted horizontally.

Answer 1

Answer: OPTION B.

Explanation:

When you multiply the whole function by a constant, which can be identified as "C", you can have the following situations:

- If
`C>1` the function is stretched.

- - If
`0<C<1` the function is compressed.

You have that 0<1/4<1

Therefore, you can conclude that be compressed vertically.

Answer 2

B. The graph will be compressed vertically.

Explanation:

The given function is f (x) = x²

The new function is f 1 (x) = 1/4 x².

The general function of the form is f(x) = a · x²

i) If |a| < 1 the graph is compressed vertically by a factor of a.

ii) If |a| > 1 the graph is stretched vertically by a factor of a.

Here: a = 1/4 < 1

Answer:

B. The graph will be compressed vertically.

Hope this will helpful.

Thank you.