Calculate the relative minimum and maximum of the following equation f(x) = 8x^3 - 13x^2 - 6x -8 and make the graph.

For the given function y=x^2+2x+9 a). Determine whether this function has a maximum or minimum value. b). Draw a sketch graph of the function.

A parabola goes through  points (1,0), (2,3), (-1,0). Find the equation of this function.

sketch the graph of f(x) = 2x and label two-point.

suppose you and your friends create a catapult and launch a water balloon with it. A. the height of the water balloon in feet t seconds after launch is given by f(t) =96t-16t^2. how long will the water balloon be in the air? (here we assume the water balloon is on the ground when the height is 0 ft.) B. viewing a graph of this function below, estimate the maximum height the water balloon achieves. (image of graph below) C. recalling that the function of the height of the water balloon (in feet) is f(t) =96t-16t^2 , use your knowledge about quadratic function to determine the actual height the water balloon achieves.