Answer to Question #42987 in Calculus for shasha

Question

Write the quadratic function in vertex form.

y = x2 + 16x + 74

help and show work

Answer 1

The vertex form of a quadratic function is given by
f (x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. Therefore we get
y=x²+16x+74=x²+16x+64+10
Using formula (a+b)²=a²+2ab+b² we obtain
y=(x+8)²+10.