College Algebra Unit I Practice Exam Worksheet With Answer Key Page 7
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12The graph of a quadratic function is given. Determine the function's equation.
32)
32)
A) g(x) = (x + 1) 2 - 1
B) h(x) = (x - 1) 2 + 1
C) f(x) = (x + 1) 2 + 1
D) j(x) = (x - 1) 2 - 1
Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of
the minimum or maximum point.
33) f(x) = -2x 2 + 6x
33)
3
9
3
9
A) minimum; -
, -
B) minimum;
,
2
2
2
2
3
9
3
9
C) maximum; -
, -
D) maximum;
,
2
2
2
2
Solve the problem.
34) In one U.S. city, the quadratic function f(x) = 0.0042x 2 - 0.46x + 36.44 models the median, or
34)
average, age, y, at which men were first married x years after 1900. In which year was this average
age at a minimum? (Round to the nearest year.) What was the average age at first marriage for that
year? (Round to the nearest tenth.)
A) 1955, 23.8 years old
B) 1953, 36 years old
C) 1955, 49 years old
D) 1936, 49 years old
Find the distance between the pair of points.
35) (4, 1) and (1, -3)
35)
A) 10
B) 25
C) 5
D) 6
Find the midpoint of the line segment whose end points are given.
36) (5, 4) and (-2, 5)
36)
3
9
7
1
A) (7, -1)
B) (
,
)
C) (
, -
)
D) (3, 9)
2
2
2
2
Write the standard form of the equation of the circle with the given center and radius.
37) Center at (-7, -8); radius of 9
37)
A) (x - 7) 2 + (y - 8) 2 = 81
B) (x + 7) 2 + (y + 8) 2 = 81
C) (x + 8) 2 + (y + 7) 2 = 9
D) (x - 8) 2 + (y - 7) 2 = 9
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