Question

Help!
Which of the following represents the equation that shifts the graph 4 units left and 2 units down?
a. f(x-4)-2
b.f(x+4)-2
c.f(x-4)+2
d.f(x+4)+2

Answer 1

a

Answer 2

I tried that, it was incorrect

Answer 3

b

Answer 4

You can eliminate 2 obvious choices - the ones that move the graph up, which ones are those?

Answer 5

You're also looking for where the vertex, \((\color{green}{h,k})\) turns into \((\color{red}{-h},k)\).

a. \(\large f(x-\color{red}4)-\color{red}2\) \(\iff\)vertex = \((h,k)=(4,-2)\)

b. \(\large f(x+\color{red}{4})-2\) \(\iff\) \(\large f(x-\color{red}{(-4)})-\color{red}2\) \(\iff \)vertex = \((-h,k)\) = \((-4,-2)\)