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Once your quadratic equation is in the standard form:
, the x-coordinate of the vertex is given by
Now find the y-coordinate of the vertex by substituting this value of x (x=2) into the quadratic equation and solve for y.
The vertex is at (2, -16)
The x-intercepts can be found by solving the quadratic equation.
Solve by factoring.
Apply the zero products principle.
If x+2 = 0, then x = -2
If x-6 = 0, then x = 6
The x-intercepts are: (-2, 0) and (6, 0)
See the graph below: