Question

Find the coordinates of the vertex for the parabola defined by the given quadratic function.

f(x) = 2x² – 20x +7
The vertex is
(Type an ordered pair.)

Answer 1

(5, -43)

Explanation:

The value of the x-coordinate of the vertex of a function in standard form is given by -b/2a. The value of a is the coefficient of the x^2 term. The value of b is the coefficient of the x term. In this problem, a = 2 and b = -20. When you evaluate -b/2a you would replace the b with -20 and replace the a with 2 so you get -(-20)/2(2) so the value of x is 5. Determine the value of y by evaluating f(5) = 2(5)^2 - 20(5) +7.