Question

Write a quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, −17) .

f(x)=

Answer 1

Explanation:

Given,

Vertex (h, k ) = (1,0)

Now,

We know,

f(x) = a(x-h)²+k

Since, it passess through (2, −17)

Put x = 2 and y = - 17

or, -17 = a(2 - 1)² + 0

or, -17 = a

Now,

f(x) = a(x - h)² + k

= -17(x - 1)² + 0

= -17x² + 34x - 17