MATH 103 Homework #7

Write each quadratic function in the form
y=a(x-h)^2+k, and use transformations to
sketch the graph

For each quadratic function , find the vertex ,
the x and y intercepts , and sketch the graph

For each quadratic function , find the maximum
or minimum of the function and the intervals on
which the function is increasing or decreasing

Perform the indicated operations and write the
answer in standard imaginary form

Find the imaginary solutions to the following
quadratic functions

If a football is kicked up with an initial velocity of 128 ft/sec, from a height of 5 ft. Then its height above
the earth can be described as h(t)=-16t^2+128t+5. What is the maximum height reached by the ball?

Shandra wants to enclose a rectangular garden with 200 yards of fencing. What dimensions of the garden
will maximize its area?

At $10 per ticket, WIlliew WIllieams will fill all 8000 seats at the Assembly Center. The manager knows
that for every $2 increase in the price, 500 tickets will go unsold.
 a) Write the number of tickets sold as a function of ticket price
 b) Write the total revenue as a function of ticket price
 c) What ticket price will maximize revenue