Question

Given the function f(x)=(x+3)2-1, which of the following would describe a shift of the vertex 3 units to the left.

A. f(x + 3)
B. f(x)+3
C. f(x)-3
D. f(x-3)

Answer 1

A. f(x+3)

Explanation:

The vertex form is y=a(x-h)^2+k. To move left, your 'h' value has to be negative, so in this case, it'd be -3, but wait. Since it already tells you to subtract the 'h' value, subtracting -3, (-(-3), would be the same as adding 3. So inside the form, it has to be (x+3) to make sense. A is the correct answer.

B is incorrect because that just shifts the function 3 units up.

C is incorrect because that shifts the function 3 units down.

D is incorrect because that shifts the function 3 units right.

Hope this helps.