Question

Which of the following are the coordinates of the vertex of y = x2 − 10x + 2?

Answer 1

y=x^2 - 10x +2

Use the form ax^2 + bx + c to find the values of a, b,and c.

a = 1 ( no number in front of the x^2)

b = 10

c = 2

Vertex form is a(x+d)^2 + e

Solve for d using d= b/2a

d = 10 / 2

d = 5

Find e using e = c - b^2/4a

e = 2 - 10^2/4

e = 2 - 25

e = -23

Vertex = d,e

Vertex = (5, -23)