Graph f(x) = log5 (x-3).

Step-by-step explanation:

We want to graph:

We first graph the parent function

This parent function has x-intercept at (1,0) and it is asymptotic to the y-axis.

We then shift the graph of the parent function 3 units right, to obtain the graph of

The new x-intercept will be (4,0) and vertical asymptote will now be x=3.

See attachment.

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.