In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angl
e.
(Write and solve an equation to determine the measure of angle x.)
(Write and solve an equation to determine the measure of angle x.)
1 answer:
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So firstly, foil (x-8)(x-2):
Next, remember that the vertex lies on the axis of symmetry, and the equation to find the axis of symmetry is (a = x^2 coefficient, b = x coefficient). Solve for the axis of symmetry as such:
So now that we know that the axis of symmetry is x = 5, we also know that's the vertex's x-coordinate (since the vertex falls on the axis of symmetry). Now plug in 5 for x in the original equation to solve for f(5):
So putting it together, the vertex of this equation is (5,-9).