Open the “Quadratic Functions” interactive figure, which is available in the Video & Resource Library of MyLab Math (under Sullivan Guided Visualizations) or at bit.ly/3raFUGB.

(a) Set the values of a , h , and k as follows: a = 2, h = 3, k = −4. What is the equation of the quadratic function?

(b) Set the values of a , h , and k as follows: a = 2, h = 1, k = −3. What is the vertex of the graph of the quadratic function? Express your answer as an ordered pair.

(c) Set h to − 1 and k to 1. Adjust the slider for a so that it scrolls from a = −3 to a = 3. When the value of a < 0, the graph of the quadratic function is concave________.

(d) Use the interactive figure to determine the quadratic function whose vertex is (1, −3) and contains the point (2, −6).