Question

1. Without graphing find the vertex and axis of symmetry. Indicate if the vertex is a

Answer 1

Answer:

the vertex is at (2, 5) and the axis of symmetry is x = 2

Step-by-step explanation:

A word to the wise:  Please use " ^ " to indicate exponentiation.  And so we have:

y= -2x^2+8x-3

The x-coordinate of the vertex and the equation of the axis of symmetry is determined by the equation

        b                                          -8

x = -------   which here is   x = ----------- = 2

        2a                                     2(-2)

Then the y-coordinate of the vertex is f(2) = -2(-2)^2 + 8(2) - 3 = 8 - 3  = 5

and so the vertex is at (2, 5) and the axis of symmetry is x = 2