Write the equation of the function whose graph is shown.
Accepted Solution
A:
Answer: [tex]y=1(x-5)^2 + 3[/tex]Step-by-step explanation:Given : from the graph vertex is (5,3)Also graph passes through point (8,12)We use vertex form of quadratic equationGeneral vertex form is [tex]y=a(x-h)^2 + k[/tex]vertex is (5,3)h= 5 and k =3So equation becomes [tex]y=a(x-5)^2 + 3[/tex]Now we need to find out 'a'We use (8,12) to find out 'a'Plug in x=8 and y = 12 [tex]12=a(8-5)^2 + 3[/tex] [tex]12=a(3)^2 + 3[/tex]12= 9a + 3subtract 3 on both sides9 = 9adivide both sides by 9so a=1Final equation is [tex]y=1(x-5)^2 + 3[/tex]