Question

What is the vertex of the parabola represented by y =-x2 + 6x - 5? A. (6, -5)B. (-3, -4)C. (3, 4)D. (1, 5)E. (5, 1)

Answer 1

calculatewe have the next equation of the parabola

$y=-x^2+6x-5$$y=ax2+bx+c.$

a=-1

b=6

c=-5

then we need to calculated the vertice using the next formula

coordinate x

$x=\frac{-b}{2a}$$x=\frac{-6}{2(-1)}=\frac{-6}{-2}=3$

for the coordinate y

y=-x^2 + 6x - 5=-(3)^2+6(3)-5=4

the coordinate of the vertice is (3,4)