Vocabulary
This is what the graph (or shape) of a quadratic function is called.
Parabola
What method is used to factor quadratics?
The 'X' method or the 'ac' method
Solve: x2 = 49
x = 7, x = -7
Does the graph open up or down?
5x2 + 3x - 8
Up
Solve for x:
-2x = 12
x = -6
This is the highest OR lowest point of a parabola.
Vertex
What are the factors of 24?
1, 2, 3, 4, 6, 8, 12, 24
Solve: x2 = 144
x = 12, x = -12
Does this graph have a maximum or a minimum?
-3x2 - 7x + 9
Maximum
Solve for x:
2x + 5 = 11
x = 3
This is what cuts the graph in half and is found using the formula
x = -b/2a
Axis of Symmetry
Factor and Solve:
x2 + 5x + 6
x = -2, x = -3
Solve: x2 + 5 = 105
x = 10, x = -10
What is the vertex of the graph? (Show DESMOS)
(-2,-9)
Solve for x:
2(x + 5) = 26
x = 8
The _______ is the LOWEST point of the parabola.
Minimum
Factor and Solve:
x2 - 7x + 12
x = 4, x = 3
Solve: 2x2 - 32 = 0
x = 4, x = -4
What is the Axis of Symmetry? (SHOW DESMOS)
x = 2
Solve for x:
2x + 7 + 3x = 27
x = 4
The ________ is the HIGHEST point of the parabola.
Maximum
Factor and Solve:
x2 + 14x - 15
x = -15, x = 1
Solve: 5(x - 2)2 = 70
x = 5.74, x = -1.74
What are the ZEROS/SOLUTIONS? (SEE DESMOS)
x = -1, x = 2
Solve for x:
5x + 3 = 7x - 5
x = 4