Section 2.5: Quadratic Functions and Models

1. For the quadratic function $f(x)=-x^2+8x-7$, find (a) the vertex (b) $x$-intercepts (c) $y$-intercept (d) the max or min value (e) the domain and range of $f$.  solution

2. Find the maximum or minimum value of \(f(x) = 3x^2 - 9x + 60.\) Specify your answer whether it is maximum or minimum.   solution

3. Find the maximum or minimum value of \(f(t) = 1000 +50t -5t^2.\) Specify your answer whether it is maximum or minimum.  solution

4. A ball is thrown directly upward with a velocity of \(48\) feet per second. Its height in feet after \(t\) seconds is given by \(y = 48t -16t^2 \). What is the maximum height attained by the ball?   solution