Question

1. MONDAY (5/18): Which of the following functions matches the graph to the right

a) f(x) = -⅙(x+3)²+6
b) f(x)=-⅙(x-3)²+6
c) f(x) = -6 (x+3)² +6
d) f(x) = -6 (x-3)² + 6​

Answer 1

a.) f(x) = -⅙(x+3)²+6

Explanation:

The maximum value, our vertex, is at point (-3,6).

We can insert this value into the vertex form of a quadratic function and then solve for a as follows...

`4.5 = a(0 +3)^2 +6\\4.5=a(9)+6\\-1.5 = 9a \\-.17=a\\a = -1/6`

a equals -1/6... We can input this into the original equation we used...

f(x) = -1/6(x+3)^2+6

Good luck on the bellwork ;)