APPLICATIONS
7.
A cable hangs between two vertical poles spaced 10 feet apart as shown. The cable hangs in the shape of a
parabola that can be modeled using the equation y=a(x+h)²+k.
(a) What are the values of h and k? Justify.
(b) Write the equation of the function using your
values of h and k.
(c) Use the fact that the cable passes through the point
(0, 10) to determine the value of a.
10 ft
Pole
3 ft
5
10 ft-
Pole
(d) Write the final equation that models the shape of the cable. Use your calculator to make sure it passes
through the point (10, 10).
N-GEN MATH ALGEBRA I-UNIT 10-FUNCTIONS AND THEIR TRANSFORMATIONS-LESSON 7
