Quadratic Functions Worksheet - Algebra 2, Part 1 Practice Test A (Page 3 of 5) in pdf

Quadratic Functions Worksheet - Algebra 2, Part 1 Practice Test A Page 3

10. Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the

formula

, where x is the number of units produced per week, in thousands.

How many units should the company produce per week to earn the maximum profit?

Find the maximum weekly profit.

11. A science museum is going to put an outdoor restaurant along one wall of the museum. The restaurant space will

be rectangular. Assume the museum would prefer to maximize the area for the restaurant.

Suppose there is 120 feet of fencing available for the three sides that require fencing.

How long will the longest side of the restaurant be?

What is the maximum area?

12. Show that

is equal to

. Then use this to explain how you know that 5 is the

minimum value of the function.

Objective 3: Transforming Quadratic Functions

13. Write the equation of the parabola in vertex form.

–8

–6

–4

–2

–4

–6

–8

14. Write the equation of the parabola in vertex form.

vertex (–4, 2), point (–2, –18)

15. Write

in vertex form.

16. Write

in vertex form.

Algebra 2 Quadratic Functions Part 1 PTA

Quadratic Functions Worksheet - Algebra 2, Part 1 Practice Test A Page 3