# 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

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