Parts of a Parabola
The highest or lowest point of a parabola is called the...?
Vertex
When we factor, we look for two numbers that __ to make "b" but __ to make "c".
ADD to make b, MULTIPLY to make c
We can use the "box method" or the ___ method when multiplying binomials.
FOIL (front, outside, inside, last)
What is the quadratic formula?
Look. At. Your. Notes!
-8 + 5 =?
-3
Roots, solutions, zeroes...what we are solving for is called the...
Factor:
x2 + 7x + 10
(x + 2)(x + 5)
Multiply:
(x + 3)(x + 2)
x2 + 5x + 6
For the equation x2 - 3x - 5 = 0, identify a, b, and c.
a = 1, b = -3, c = -5
6 - (-4) = ?
10
If a parabola is opened upward, does it have a minimum or maximum?
Minimum
Factor:
x2 - 9x + 20
Multiply:
(x - 4)(x + 5)
x2 + x - 20
For the equation 2x2 + 7x - 3 = 0, identify a, b, and c.
a = 2, b = 7, c = -3
Evaluate:
12/3 x 4 = ?
(12 divided by 3 times 4)
16
For function y = (x - 4)2 + 3, what is the vertex?
(4, 3)
Factor then solve for x:
x2 + 9x + 18 = 0
Factored: (x + 3)(x + 6) = 0
x = -3, -6
Multiply:
(2x + 3)(x + 1)
2x2 + 5x + 3
Set up the quadratic formula for this equation:
x2 + 4x - 10 = 0
Ms. Sullivan will judge.
Evaluate:
52 + 2
27
For function y = (x + 2)2 + 7, what is the vertex?
(-2, 7)
Factor then solve for x:
x2 - 16 = 0
Factored: (x + 4)(x - 4)
x = -4, 4
Multiply:
(3x - 2)(2x - 1)
6x2 - 7x + 2
If near the end, I realize what is inside the square root symbol is a perfect square, what do I need to do?
Continue to solve it by replacing the +_ sign with + and -. Basically solving it 2 times in 2 different ways.
Evaluate:
-3(7 - 3) + 5
-7