Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = –2x2 + 6x – 1.

x = 3; vertex: (3, 35)

x = –1.5; vertex: (–1.5, –5.5)

x = 1.5; vertex: (1.5, 3.5)

x = –1.5; vertex: (–1.5, –14.5)

The answer to your question is x = 1.5  Vertex = (1.5, 3.5)

Step-by-step explanation:

Data

Function

               y = -2x² + 6x - 1

Process

1.- Find the canonical form of the equation

              y = -2x² + 6x - 1

              y + 1      = -2x² + 6x

              y + 1      = -2(x² - 3x    )

              y + 1 - 18/4  = -2(x² - 3x + 3/2²)

              y - 7/2 = -2(x - 3/2)²

2.- Find the vertex

         (3/2, 7/2) = (1.5, 3.5)

3.- Find the axis of symmetry

The axis of symmetry is the "x" coordinate.

    axis of symmetry = 1.5          

the balance is found at the link

step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)