Rewrite f(x) = 3(x-2)^2+1 from vertex form to standard form

3x² - 12x + 13

Step-by-step explanation:

given

f(x) = 3(x - 2)² + 1 ← expand (x - 2)²

     = 3(x² - 4x + 4) + 1

     = 3x² - 12x + 12 + 1

     = 3x² - 12x + 13 ← in standard form

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.