\(18 \) Which statement about \( g ( x ) = x ^ { 2 } - 576 \) is true?
F The zeros, \( - 288 \) and \( 288 \) , can be found when \( 0 = ( x + 288 ) ( x - 288 ) \) .
G The only zero, \( 288 \) , can be found when \( 0 = ( x - 288 ) ^ { 2 } \) .
H The zeros, \( - 24 \) and \( 24 \) , can be found when \( 0 = ( x + 24 ) ( x - 24 ) \)
J. The only zero, \( 24 \) , can be found when \( 0 = ( x - 24 ) ^ { 2 } \) .
H
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. \( y = - 5 f ( x )\)
