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 Which steps transform the graph of y = x2 to y = –2(x – 2)2 + 2?  (1 point)

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What is the maximum or minimum value of the function? What is the range?

y = –2x2 + 32x –12

 
(1 point)

6.  

A biologist took a count of the number of fish in a particular lake and recounted the lake’s population of fish each of the next six weeks.

 Week     0     1     2     3     4    5    6
 Population  350  353  382  437   518  625  758


Find a quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 8.
 (1 point)

7.  

WorkPad

Note: Remember to show all of the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.

Suppose a parabola has vertex (–4, 7) and also passes through the point (–3, 8). Write the equation of the parabola in vertex form.

8.  

 
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