Answer
Axis of symmetry: x=0
Vertex: (0,11)
Work Step by Step
$y=−4x^2+11$
The standard form for a quadratic equation is
$y=ax^2+bx+c$ So a= -4, b= 0, and c= 11
Axis of symmetry:
The formula for axis of symmetry is
x=−b/2a
$x=−(0)/2(−4)$
$x=0/−8$
x=0
Vertex:
Plug in the x value of the axis of symmetry to find the y value of the vertex.
$y=−4x^2+11$
$y=−4(0)^2+11$
y= 0 + 11
y=11
The vertex is (0,11)