-16t^2+32t+260 A toy rocket launched from the too of the building 260 feet tall at an initial velocity of 32 feet per second. The height of the rocket is in t seconds after the launch is given When does the rocket meet maximum height? What is the maximum height?
\(h(t)= -16t^2+ 32t+ 260\\t= 1,h(1)= h_{\max}= 276\)
9. A board game company models the profit on its latest board game using the quadratic relation
\( P = - 2 x ^ { 2 } + 28 x - 90 , \) where \( x \) is the number of games it produces in hundred thousands and \( P \) is the profit in millions of dollars.
a) What are the break-even points for the company?
b) What is the maximum profit that the company can earn?
The graph of \( y = f ( x ) \) is stretched horizontally by a factor of \( 5 \) , and reflected in the \( x \) -axis. What is the equation of the image graph in terms of \( f \) ?
A. \( y = - f ( 5 x ) \) C. \( y = - f ( \frac { 1 } { 5 } x ) \)
B. \( y = - \frac { 1 } { 5 } f ( x ) \) D. \( y = - 5 f ( x )\)
