Question

Write the equation of the function whose graph IS
shown.
y = ____ (x + ____)^2 + ____

Answer 1

y=1(x-5)^2+3

Please correct me if i am wrong.

Explanation:

We know that the turning point of a graph in the form a(x+p)^2+q is (-p,q) so,

TP(5,3) means that p=-5, q=3.

To solve a for the function y = a(x-5)^2+3, we can substitute one of the points we know lie on the graph for x and y so,

Substitute (8,12) into y=a(x-5)^2+3,

12=a(8-5)^2+3

12=9a+3

9=9a

a=1,

So substitute in a,

y=1(x-5)^2+3