Question

A quadratic function is represented in the table below.

Which equation best represents the function?

F. f(x)=-2(x-4)²+5

G. f(x)=-2(x-3)²+3

H. f(x)=2(x-4)²+5

I. f(x)=2(x-3)²+3

Answer 1

Explanation:

The equation G best fits the criteria of the function given: a vertex at (3,3), and a negative value of 'a', thus opening downward. Any other equations do not match these criteria, as they either have too high or low of an 'a' value or have vertices at different points.

It is clear that G is the equation that best represents the function, as it yields a value of 3 for f(3), as opposed to the other equations which produced 1, 11, and 7 respectively. This can be seen in the table below:

Equation f(3)

F 1

G 3

H 11

I 7