Assignment
1. For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. Show your work.
y = -2x2 + 2x +2
2. The volume in cubic feet of a box can be expressed as (x)=x3-6x2+8x , or as the product of three linear factors with integer coefficients. The width of the box is x-2.
Factor the polynomial to find linear expressions for the height and the length. Show your work.
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Time (hours)
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0
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1
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2
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3
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4
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5
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6
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Population (1000s)
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5.1
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3.03
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1.72
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1.17
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1.38
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2.35
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4.08
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3. In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again.
Find a quadratic model for the data in the table. Type your answer below. Show your work.
4. Use the model from problem 12 to estimate the population of bacteria at 9 hours.
Type your answer below. Show your work.
5. Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20). Show your work.
6. Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term.
-3x5 + 9x4 + 5x3 + 3