Q:

The curve produced by the water coming from a fountain is sketched on the graph.Which function does the graph represent?A) f(x) = (x-2)^2 + 3B) f(x) = -(x-2)^2 + 3C) f(x) = (x+2)^2 + 3D) f(x) = -(x+2)^2 + 3​

Accepted Solution

A:
Answer: B. -(x-2)^2 + 3

The vertex of the parabola is (2,3) so we can plug in those values into the equation for vertex form. And the parabola is facing down, so we know the function is multiplied by -1.

Therefore the equation is -(x-2)^2 + 3

Look at the attached image to see what vertex form is