Answer
Axis of symmetry: x=-2
Vertex: (-2,13)
Work Step by Step
The standard form for a quadratic equation is
$y=ax^2+bx+c$ So a= -4, b= -16, and c= -2
Axis of symmetry:
The formula for axis of symmetry is
x=−b/2a
x=−(−16)/2(−4)
x=16/−8
x= -2
Vertex:
Plug in the x value of the axis of symmetry to find the y value of the vertex.
$y=−4x^2−16x−3$
$y=−4(−2)^2−16(−2)−3$
y= -16 + 32 -3
y= 13
The vertex is (-2,13)
