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.

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 the function is stretched.

- - If the function is compressed.

You have that 0<1/4<1

Therefore, you can conclude that be compressed vertically.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.