Question

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

Answer 1

Answer: OPTION B.

Step-by-step 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 $0$ the function is compressed.

You have that 0<1/4<1

Therefore, you can conclude that be compressed vertically.

Answer 2

Answer:

B. The graph will be compressed vertically.

Step-by-step 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.