Question

What is the vertex of the parabola represented by y=-p2 + 6x – 5? A. (6,-5) OB. (-3,-4) C. (3,4) O ( D. (1,5) O E. (5,1)

Answer 1

Given data:

The expression for the parabola is y=-x^2 +6x-5.

The given equation can be written as,

`\begin{gathered} y=-x^2+6x-5 \\ =-(x^2-6x+5) \\ =-(x^2-2(3)(x)+9-4) \\ =-(x-3)^2+4 \end{gathered}`

Thus, the vertex of the parabola is (3,4).