Question

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

A.x = –1.5; vertex: (–1.5, –5.5)
B.x = –1.5; vertex: (–1.5, – 14.5)
C.x = 3; vertex: (3, 35)
D.x = 1.5; vertex: (1.5, 3.5)

Answer 1

this is an algebra question

Answer 2

well.... let us first find the vertex then

for a quadratic equation, that is a 2nd degree one
the vertex is at \(\bf \textit{vertex of a parabola}\\ \quad \\
y = {\color{red}{ -2}}x^2{\color{blue}{ +6}}x{\color{green}{ -1}}\qquad

\left(-\cfrac{{\color{blue}{ b}}}{2{\color{red}{ a}}}\quad ,\quad {\color{green}{ c}}-\cfrac{{\color{blue}{ b}}^2}{4{\color{red}{ a}}}\right)\)

so... see what you get for the vertex
since the axis of symmetry, passes by the vertex

Answer 3

it would be D

Answer 4

oh ok.
thanks