Answer
See the graph
Work Step by Step
$y=-2x^2-8x-7$
Find the axis of symmetry and the coordinates of the vertex.
$x=\frac{-b}{2a}=\frac{-(-8)}{2.(-2)}=-2$
The axis of symmetry is $x = -2$. So the x-coordinate of the vertex is -2.
Substitute -2 for x to find the y-coordinate of the vertex.
$y=-2(-2)^2-8(-2)-7$
$y=-8+16-7$
$y=1$
The vertex is $(-2,1)$
Find two other points on the graph.
$(0,-7)$
$(1,-17)$
Graph the vertex and the points we found.
