Question

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)

Answer 1

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

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