Section 5.1

  • Determine if a function is linear or quadratic
  • State the quadratic, linear, and constant terms
  • Identify the vertex, axis of symmetry, and the points corresponding to P and Q on a graph

Section 5.4

  • Factor problems completely – but DO NOT solve!!

Section 5.5

  • Solve quadratic equations by factoring
  • Solve quadratic equations by using the square root method
  • Solve quadratic equations by graphing (graphing calculator)
  • Solve quadratic equations by any method you choose
  • Solve a quadratic equation word problem

Study

  • Portfolio page
  • READ NOTESHEETS
  • Study worksheets (especially the review worksheets)
  • Practice problems – redo homework problems

Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms.

  1. y = 3x(x + 4) – 3x2 + 52. y = (5 – 2x)(x + 8)

Circle: linear or quadraticCircle: linear or quadratic

quadratic term ______quadratic term ______

linear term _____linear term _____

constant term _____constant term _____

3. Identify the vertex, axis of symmetry, and the points corresponding to P and Q.

vertex ______

axis of symmetry ______

P’ ______

Q’ ______

4. The height h in feet of a projectile launched vertically upward from the top of a 112-foot tall tower when time (measured in seconds)t = 0 is given by h = -16t2 + 96t + 112.

a) How long will it take the projectile to strike the ground?

b) What is the maximum height that the projectile reaches?

5. The height in feet of a bottle rocket is given by h = -16t2 + 192t, where t is the time in seconds.

a)How long will it take for the rocket to return to the ground?

b)What is the height after 2 seconds?

c)What is the maximum height?

6. While playing catch with his grandson yesterday Tim throws a ball as hard as possible into the air. The height hin feet of the ball is given by h = -16t2 + 64t + 6, where t is in seconds.

a) How long will it take until the ball reaches the grandson’s glove if he catches it at a height of 4 feet?

b)What is the maximum height of the ball?

Solve by factoring, taking the square roots, or, if necessary, by using the graphing calculator. Give exact radical answers unless using the graphing calculator, then round to the nearest hundredth.

7. x2 – 5x = 08. x2 + 6x – 72 = 09. (x + 4)2 = 25

10. x2 – 3x – 8 = 011. 7x2 + 27x – 4 = 012. x2 + 6x + 9 = 0

13. x2 – 20 = 014. 5x2 + 13x – 2 = 0

Factor the following but do not solve.

15. 4x4 – 324