Answer
Axis of symmetry: x=4
Vertex: (4,-23)
Work Step by Step
$y=x^2−8x−7$
The standard form for a quadratic equation is
$y=ax^2+bx+c$ So a= 1, b= -8, and c= -7
Axis of symmetry:
The formula for axis of symmetry is
x=−b/2a
x=−(−8)/2(1)
x=8/2
x=4
Vertex:
Plug in the x value of the axis of symmetry to find the y value of the vertex.
$y=x^2−8x−7$
$y=(4)^2−8(4)−7$
y= 16 - 32 - 7
y= -23
The vertex is (4,-23)
