Question

Write an equation in vertex form of the parabola that passes through (4, 20) and has a vertex of (1, 2). *

Answer 1

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

Explanation:

+ Because the vertex (1,2), then the equation is y = a(x-1)^2 +2 for a real number a different of 0.

+ And the parabola that passes through (4, 20), we have: x=4, y=20

20=a(4-1)^2 + 2

20= 9a+2

9a=20-2

9a = 18

a = 18/9 = 2.

Then a=2.

Hope you understand.