Question

Write a quadratic function whose graph has the given characteristics.

vertex: (3, 5)
point: (2, –1)

Answer 1

Y = a( x - h)^2 + k
Y = a( x - 3)^2 + 5
Solve for a
-1 = a( 2 - 3) ^ 2 + 5
-1 = a (-1)^2 + 5
-1 = a + 5, a = -6
Equation: y = -6 (x - 3) ^2 + 5