Question

Please Help! Which of the following equations, when graphed, results in the parabola depicted above? (I'll put a screenshot of the graph) A. f(x)=(x+2)2+4 B. f(x)=(x−2)2−4 C. f(x)=(x+2)2−4 D. f(x)=(x−2)2+4

Answer 1

B.

Explanation:

The zeroes are 0 and 4 and the vertex is at (2, -4).

f(x) = (x - 2)^2 - 4

Answer 2

B. f(x)=(x−2)^2−4

Explanation:

The vertex form of the equation for a parabola with vertex (h, k) is ...

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

The value 'a' is a vertical scale factor, which is indicated as being 1 in all of the answer choices.

The graph shows you the vertex is (h, k) = (2, -4). Putting these values into the above form, you get ...

f(x) = (x -2)^2 -4 . . . . . . matches choice B