Question

What is the equation of a quadratic equation with a vertex of (3,5) and a y intercept of (0,12)? Show your work. 

Answer 1

Explanation:

hello :

f(x) = a(x+h)²+k

(h;k) the vertex so : h=3 and k= 5

now calculate a given f(0) = 12

means : a(0+3)²+5 = 12

9a=7 so : a=7/9

the equation is : y= (7/9)(x+3)²+5