Answer to Question #43003 in Calculus for shasha

Question

Write the quadratic function in vertex form.

y = x2 + 16x + 74

y = (x + 8)2 + 10

y = (x + 8)2 - 10

y = (x - 8)2 + 10

y = (x - 8)2 - 10


Help me please

Answer 1

y = x² + 16x + 74 = x² + 16x + 64 + 10
Using the formula (a+b)² = a² + 2ab + b² we get
y = x² + 16x + 64 + 10 = (x + 8)² + 10.