Question

The graph of f(x) = x^2 is shifted 3 units to the left to obtain the graph of g(x). Which of the following equations best describes g(x)?

g(x) = (x + 3)^2
g(x) = x^2 − 3
g(x) = x^2 + 3
g(x) = (x − 3)^2

Answer 1

B or D?

Answer 2

Yes so the general equation is \(f(x)=(x-h)^2+k\)

The value of h is how much it translates left or right
(So if its (x-5) it goes right 5, likewise (x+5) means it goes left 5)

Answer 3

So would the final answer be D?

Answer 4

Correction: \(f(x)=a(x-h)^2+k\)

Answer 5

Not quite, the opposite

Its counterintuitive -3 is right and +3 is left

Answer 6

So.........A.......?

Answer 7

Yes

Answer 8

Okie ^~^