Answer:
Review Vertex and Intercepts of a Quadratic Functions
The graph of a quadratic function of the form
f(x) = a x 2 + b x + c
is a vertical parabola with axis of symmetry parallel to the y axis and has a vertex V with coordinates (h , k), x - intercepts when they exist and a y - intercept as shown below in the graph. When the coefficient a is positive the vertex is the lowest point in the parabola that opens upward and when it is negative, the vertex is the highest point in the parabola that opens downward.
graph of parabola
The vertex has coordinates ( h , k) where h = - b / 2a and k = f(h) = c - b 2 / 4a
The quadratic function of the parabola whose axis is vertical and whose vertex is at the point ( h , k ) is given by
Explanation: