A quadratic function f is given. f(x) = −4x2 − 12x + 5 (a) Express f in standard form. f(x) = −4(x+32​)2+14 (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist, enter DNE.) vertex (x, y) = −32​,14

Find the maximum or minimum value of the quadratic function g(x)=2x2+6x+3

Height of a basketball The path of a basketball thrown from the free throw line can be modeled by the quadratic function f(x)=0.06x2+1.5x+6, where x is the horizontal distance in feet from the free throw line and f(x) is the height in feet of the ball. Find the maximum height of the basketball.