Question

Use the vertex formula to find the vertex of the quadratic function f(x) = - x2 + 4x - 10.

Answer 1

Answer:

           (2, -6)

Step-by-step explanation:

$f(x)=-x^2+4x-10\\a=-1\,,\ \ b=4$

Vertex form of an equation of a quadratic function: f(x)=a(x-h)²+k, where vertex is (h, k) and:

$h=\dfrac{-b}{2a}\,,\ \ k=f(h)\\\\h=\dfrac{-4}{2\cdot(-1)}=2\\\\k=f(2)=-2^2+4\cdot2-10=-4+8-10=-6$