How do find the vertex and axis of symmetry, and intercepts for a quadratic equation #y = -3x^2 + 12x - 8#?
Convert the equation into vertex form. Use the vertex and parabolic form to determine the axis of symmetry. Set one variable to
Conversion to Vertex Form
The vertex is at
Axis of Symmetry
The equation is a parabola in standard position (vertical axis) opening downward. So the axis of symmetry is a vertical line running through the vertex:
Use the quadratic formula
to determine x-intercepts