PLS HELP WILL GIVE 30 POINTS

Question

asked Aug 19, 2023 82.0k views

1 Answer

Sheh · Answer 1 · 2023-08-23T19:55:33+0000

Answer:
y=-(1)/(3) x^2 +(2)/(3)x+(26)/(3)

Explanation:

The equation in vertex form is
y=a(x-1)^2 +9 .

Substituting in the coordinates (4,6) to solve for a,

$6=a(4-1)^2 +9\\\\6=9a+9\\\\9a=-3\\\\a=-(1)/(3)\\\\$

This means the equation in vertex form is
y=-(1)/(3)(x-1)^2 +9 . Expanding this out into standard form,

$y=-(1)/(3)(x^2 -2x+1)+9\\\\=-(1)/(3)x^2 +(2)/(3)x-(1)/(3)+9\\\\=-(1)/(3)x^2 +(2)/(3)x+(26)/(3)$