Question

What are the coordinates of the vertex of the graph:

y=x^2 + 14x + 33
A. (x, y) = (7, -16)
B. (x, y) = (–16, 7)
C. (x, y) = (-7, -16)
D. (x, y) = (16, -7)

Answer 1

(-7,-16)

Explanation:

calculate the first derivative and equale tot zero.

dy/dx = 2x + 14 = 0

<=> x = -7

calculate now the value of y for x = -7

y = (-7)^2 + 14*(-7) + 33

y = 49 - 98 + 33

y = -16

Answer 2

Answer is C. (-7, -16)