Question

Write the equation of the graph below

Answer 1

Explanation:

This is a parabola with a vertex at h = 4 and k = 5; the graph goes through the coordinate x = 6 and y = 6. We will use those 4 values to fill in the equation:

`y=a(x-h)^2+k` and this will allow us to solve for the value of a:

`6=a(6-4)^2+5` and

`6=a(2)^2+5` and

6 = 4a + 5 and

1 = 4a so

`a=(1)/(4)` and the equation is

`y=(1)/(4)(x-4)^2+5`