GP3-Quiz1 Retake Precalculus
Show your work
No Graphing Calculators
Use the graph to determine the function’s equation.
1
2
3
4
1
4
Find the coordinates of the vertex of
Find the x-intercept(s), if any, of
Find the y-intercept of
Describe the transformations to obtain the graph of
from the graph of
Recall,
Order of Transformations
1st shift the graph of g(x) to the left 1 unit, then
1st Horizontal shifts, then
2nd shift the resulting graph down 2 units.
2nd Stretches & shrinks, then
3rd Reflections, then
4th Vertical shifts
Do not use a calculator. Express your answer in radical form.
Simplify √
√
√
√
√
√
An arrow is fired into the air from the top of a 320 foot cliff with an intial velocity of 128 feet per second.
The height in feet of the arrow seconds after it was shot into the air is given by the function
.
a.) Find the time it takes for the arrow to reach its maximum height.
It takes 4 seconds for the arrow to reach its maximum height.
b.) Find the maximum height of the arrow.
The arrow reasches a maximum height of 576 feet.
c.) Find the time it takes for the arrow to hit the ground.
The arrow takes 10 seconds to hit the ground.
Do not use a calculator. Express your answer in radical form.
Simplify √
√
√
√
√
√
Assume is positive. Do not use a calculator. Express your answer in radical form.
Simplify (√
)
(√
)
(√
)(√
)
(√ )
√
√
√
Rationalize the denominator. Do not use a calculator. Express your answer in radical form.
√
√
√
√
√
√
Rationalize the denominator. Do not use a calculator. Express your answer in radical form.
√
√
√
√
(
√
√
Solve √
(√
)
Check
√
Check
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) (
√
√
)
( √ )
(√ )
(√ )
√
√
√
Solve √
(√
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)
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√
)
(√
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)
√
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(√
Check
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Solve {
Check
BONUS
A parking lot has spaces reserved for motorcycles, cars, and vans. There are five more spaces reserved
for vans than for motorcycles. There are three times as many car spaces as van and motorcycle spaces
combined. If the parking lot has 180 total reserved spaces, how many spaces are reserved for cars?
Let m = number of motorcycles
c = number of cars
v = number of vans
The parking lot has 135 spaces reserved for cars.