Answer
Axis of symmetry: x=2
Vertex: (2,13)
Work Step by Step
$y = -3x^{2} + 12x + 1 $
The standard form for a quadratic equation is
$y = ax^{2} + bx + c$ So a= -3, b= 12, and c= 1
Axis of symmetry:
The formula for axis of symmetry is
$x= \frac{-b}{2a}$
$x= \frac{-(12)}{2(-3)}$
$x= \frac{-12}{-6}$
x=2
Vertex:
Plug in the x value of the axis of symmetry to find the y value of the vertex.
$y = -3x^{2} + 12x + 1 $
$y = -3(2)^{2} + 12(2) + 1 $
y= -12 + 24 + 1
y= 13
The vertex is (2,13)
