Question

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

Answer 1

The vertex is in essence the turning point of the parabola y = x² − 10x + 2

the x coordinate of the turning point = $- \frac{b}{2a}$
                                                         = $- \frac{-(10)}{2(1)}$
                                                         =  5

when x = 5, y = (5)² - 10(5) + 2
                      = -23

Thus coordinate or vertex is ( 5, -23)