# Chapter 5 Test, Sections 2 – 5. Name ____________________________ Form B

```Chapter 5 Test, Sections 2 – 5.
Form B
Name ____________________________
Period # __________
Section 2: Properties of Parabolas
B. What is the vertex of y  2x 2  20x  27 .
B. __________________

P. Write the quadratic function y  3x  5  5 in Standard Form.
2
P. __________________

A. Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by
the formula P  3x 2  12x  13 , where x is the number of units produced per week, in thousands. Find the
maximum weekly profit.

Section 2: Properties of Parabolas
B. What is the axis of symmetry for the quadratic function y  5x 2  6x  4 .
A. __________________
B. __________________
P. A manufacturer determines that the number of
drills it can sell is given by the formula
2
D  4 p  200 p  412 , where p is the price of the drills in dollars. At what price will the manufacturer sell
the maximum number of drills?
P. __________________
A. Graph y   x 2  8 x  10 . Fill in the table like we did in class.
Section 3: Transforming Parabolas
2
B. What is the y-intercept of y  5x  3  9 ?
B. __________________

P. Write the quadratic function y  4 x 2  24 x  7 in Vertex Form.
P. __________________

A. Determine a and k so both points are on the graph of the function. (-5, -3), (-2, -2); y  ax  3  k .
2

Section 3: Transforming Parabolas
2
B. What is the vertex of y  4x  7  3 ?
A. __________________
B. __________________

P. Write the equation
of the parabola in Vertex Form. Given vertex is (5, 7) and a point the parabola passes
through is (8, 25).
P. __________________
A. Graph y  2x  6  7 . Fill in the table like we did in class.
2

Section 4: Factoring
B. Factor 16x 2 169
B. __________________

P. Factor 10 x 2  11x  6
P. __________________
A. Factor 16 x 2  74 x  30
A. __________________
Section 4: Factoring
B. Factor x 2  12 x  28
B. __________________
P. Factor 15 x 2  19 x  6
P. __________________
A. Factor 30 x3  21x 2  36 x
A. __________________
Section 5:
B. Solve 9x 2  49  0
B. __________________

P. Firefighters: A smoke jumper jumps from a plane that is 1900 ft above the ground. The function
y  16t 2  1900 gives the jumper’s height y in feet at t seconds. How long is the jumper in free fall if the
parachute opens at 1000 ft?
P. __________________

A. One solution to the equation 4 x 2  bx  6  0 is 2. Find the other solution.
A. __________________

Section 5:
B. Solve x 2  6x  7  0
B. __________________

P. Solve x  7  18
2
P. __________________

A. Find the product of the solutions to the equation 4 x 2  17x  15 .

A. __________________
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