Algebra I Quadratics Review Guide for test 5/24

There will be a unit test (the last one!) on Friday.  It is very comprehensive of the whole unit; in other words, there is a lot of graphing and vocab on the test and  not just solving equations.

There are 8 questions, though some will have multiple parts.

5 Solving quadratic equations - you can use any method.  All will have real solutions.
6 on quadratic equation vocab -  vertex, roots, solutions, maximum/ minimum, parabola, standard form, quadratic equation, quadratic formula
1 graphing a quadratic
1 finding the vertex
1 putting a quadratic equation into standard form
1 reading a parabolic graph that matches a real world situation


Be able to:

solve:  (x+1)(x - 5) = 0

solve: x^2 +8x +7 = y

solve:  x^2 - 2x = 5

solve:  2x^2 - 11x + 5 = 0

solve:  4x^2 - 14 = 18   (yes that is a 14 and not a 14x)

graph:  y= 2x^2 - 8x + 7

what is the maximum value of y = -3x^2 +18x + 1?

Put the following into standard form:  y = (2x+3)(x - 6) + 2

If a golf ball is hit and its height is modeled by h = -16t^2 + 48t, when does it hit the ground?


ANSWERS:
1.  x= -1, 5
2. x = -1, -7
3.  x = 1 +/- sq rt 6
4. x = 0.5, 5
5. x = +/- sq rt 8
7. ( 3, 28)
9.  t = 3 seconds