3. [2214 Points] DETAILS PREVIOUS ANSWERS SPRECALCT 3.1.034.MI. MY NOTES ASK YOUR TEACHER [ A quadratic function h is given. h(x) = 3 24x 24x2 (a) Express h in standard form. hm = 44x2 24x + 3 (c) Find the maximum or minimum value of h. h (x ) = 2 X4. [1.1/2 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 3.1.038. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the maximum or minimum value of the function. f(x) = 6x2 - 48x - 140 4,-116 Is this a maximum or minimum value? maximum value O minimum value Need Help? Read It Viewing Saved Work Revert to Last Response 5. [-/2 Points] DETAILS SPRECALC7 3.1.040. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the maximum or minimum value of the function. g(x) = 100x2 - 1500x O maximum value O minimum value6. [-/1 Points] DETAILS SPRECALC7 3.1.048. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find a function f whose graph is a parabola with the given vertex and that passes through the given point. vertex (-1, 5); point (-2, -4) f ( x ) = Need Help? Read It 7. [-/1 Points] DETAILS SPRECALC7 3.1.051.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If a ball is thrown directly upward with a velocity of 30 ft/s, its height (in feet) after t seconds is given by y = 30t - 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.) ft3. [-l2 Points] DETAILS SPRECALC7 3.1.053.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A manufacturer finds that the revenue generated by selling X units of a certain commodity is given by the function R(x) = 100x 0.4X2, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum? 9. [-/3 Points] DETAILS SPRECALC7 3.1.063. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Carol has 1500 ft of fencing to fence in a rectangular horse corral. 750 = X (a) Find a function that models the area A of the corral in terms of the width x of the corral. A(X) = (b) Find the dimensions of the rectangle that maximize the area of the corral. width ft length ft