Question

What is the equation of the function in vertex form? Substitute numerical values for a,h and k,

Answer 1

f(x)= -2(x-8)²+6

Explanation:

First graph the points

you will get a parabola that has a vertex in (8,6) wich means h= 8 and k=6

so the equation is

• f(x) = a(x-8)²+6

to get a we will replace by the coordinates of a point for example (6,-2)

• -2 = a(6-8)²+6
• -2 = a*4+6
• -2-6 = 4a
• -8 = 4a
• a = -2

a is negative wich makes sense since the parabola opens down

• f(x) = -2(x-8)²+6