Answer:
The equation of a parabola in standard form y = -7/9 x^2 +14/3 x - 8.
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x -h)^2 + k
Given:
(h, k) = (3, -1)
y-intercept = (0, -8)
Now plug in h = 3, k = -1, x =0 and y = -8 in the vertex form and find the value of "a"
-8 = a( 0 - 3)^2 - 1
-8 = 9a - 1
-7 = 9a
a = -7/9
a = -7/9
Now plug in a = -7/9
y = -7/9 (x - 3)^2 -1
y = -7/9(x^2 - 6x + 9) - 1
y = -7/9x^2 + 14/3x -7 -1
y = -7/9 x^2 +14/3 x - 8
Thank you.
