Math 095 - Intermediate Algebra - Prairie State College

52. Which quadratic function shown below has the given graph (Each function is
written in two different, but equivalent, forms.)
y
8
6
4
2
-8 -6 -4 -2 2 4 6 8
-2
-4
-6
-8
x
(a) f(x) = −2(x − 3) 2 + 2 or f(x) = −2x 2 + 12x − 16
(b) f(x) = −(x + 3) 2 + 2 or f(x) = −x 2 − 6x − 7
(c) f(x) = (x − 3) 2 − 2 or f(x) = x 2 − 6x + 7
(d) None of the above
Objective 20: Solve application problems involving the Pythagorean theorem.
53. The triangle shown below has the given dimensions, some of which depend on
the unknown quantity x. Use the Pythagorean theorem to set up and solve an
equation for x.
√
17
✘✘ ✘✘✘ ✘ ✘✘✘ ✘ ✘✘
x
(a) x = −4
(b) x = 1
(c) x = 7
(d) x = 4.86119
x + 3
54. The length of one leg of a right triangle is two inches more than twice the length
of the other leg. Find the perimeter of the triangle if the hypotenuse measures 13
inches.
(a) 33in
(b) 32in
(c) 31in
(d) 30in
16