Question

Write the equation of the graph below

Answer 1

Answer:

Step-by-step 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

$a=\frac{1}{4}$ and the equation is

$y=\frac{1}{4}(x-4)^2+5$