Question

Evaluate the function at the given value of the independent variable and simplify.

f(x) = 3x2 - 4x + 4; f(x - 1)
A) 3x2 - 10x + 11
B) -10x2 + 3x + 11
C) 3x2 + 8x + 3
D) 3x2 - 10x + 3

Answer 1

start with
\[f(x-1)=3(x-1)^2-4(x-1)+4\] and then do a raft of algebra

Answer 2

3x\[3x ^{2}-3^{2}-4x-4+4\]

Answer 3

@satellite73 is that correct or is its +4+4

Answer 4

i think there isa mistake there

Answer 5

when you multiply out, the first term is
\[3(x-1)^2=3(x^2-2x+1)=3x^2-6x+3\]

Answer 6

second term is \(- 4(x-1)=-4x+4\)

Answer 7

so you should get
\[3x^2-6x+3-4x+4+4\] then combine like terms
remember i said "do a raft of algebra" don't make up any shortcuts

Answer 8

so is it 3x^2-10x+11

Answer 9

yes it is

Answer 10

ty i have tons more problems
if you like to help