The graph of function g is a vertical stretch of the graph of function f by a factor of 3. which equation describes function g? a. g(x)=3f(x) b. g(x)=f(3x) c. g(x)=13f(x) d. g(x)=f(x3)

Vertical stretch of function:

Suppose, we are given to vertically stretch any function f by 'a' units

so, we multiply y-value by 'a'

assume

new function is g(x)

so, we get

now, we are given

The graph of function g is a vertical stretch of the graph of function f by a factor of 3

so, a=3

so, we get

option-A.........Answer

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.