Question 1

A rancher has 1,800 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?

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Question 2

Find the standard form of the equation of a parabola whose vertex is (5, 10) and passes through the point (3, 30).

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Question 3

Find the standard form of the equation of a parabola whose vertex is (8, 4.1) and passes through the point (-2.5, 158.45).

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Question 4

Graph the quadratic function given in standard form.

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Question 5

Graph the quadratic function given in standard form. 
A)

B)

C)

D)

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Question 6

Graph the quadratic function.

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Question 7

Graph the quadratic function. 
A) 
B)

C) 
D)

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A) 
B)

C) 
D)
...

Question 8

Match the quadratic function to an equation in standard form. 
A) 
B) 
C) 
D)

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Question 9

Rewrite the quadratic function in standard form by completing the square.

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Question 10

A person standing near the edge of a cliff 150 feet above a lake throws a rock upward with an initial speed of 40 feet per second. The height of the rock above the lake at the bottom of the cliff is a function of time and is described 
 
-How many seconds will it take until the rock reaches its maximum height?
What is that height?

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Question 11

A person standing near the edge of a cliff 150 feet above a lake throws a rock upward with an initial speed of 40 feet per second. The height of the rock above the lake at the bottom of the cliff is a function of time and is described 
 
-At what time will the rock hit the water? Round to two decimal places.

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Question 12

The concentration of a drug in the bloodstream, measured in parts per million, can be modeled with a quadratic function. In 67 minutes the concentration is 49.266 parts per million. The maximum concentration of the drug in the bloodstream occurs in 300 minutes and is 375 parts per million.
-Find a quadratic function that models the concentration of the drug as a function of time in minutes.

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Question 13

The concentration of a drug in the bloodstream, measured in parts per million, can be modeled with a quadratic function. In 67 minutes the concentration is 49.266 parts per million. The maximum concentration of the drug in the bloodstream occurs in 300 minutes and is 375 parts per million.
-In how many minutes will the drug be eliminated from the bloodstream?

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Question 14

Graph the quadratic function.
y =  - 1

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y =  -...

Question 15

Graph the quadratic function.
y =  + 2x + 4

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y =  +...

Quiz 4: Polynomial and Rational Functions

A rancher has 1,800 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?

Find the standard form of the equation of a parabola whose vertex is (5, 10) and passes through the point (3, 30).

Find the standard form of the equation of a parabola whose vertex is (8, 4.1) and passes through the point (-2.5, 158.45).

Graph the quadratic function given in standard form.

Graph the quadratic function given in standard form.

Graph the quadratic function.

Graph the quadratic function.

Match the quadratic function to an equation in standard form.

Rewrite the quadratic function in standard form by completing the square.

Graph the quadratic function. y = - 1

Graph the quadratic function. y = + 2x + 4