Parts of a Parabola
"I am either the highest or lowest point of the parabola. I am the _?"
Vertex
x - 3 = 4
x = 7
Multiply using FOIL or Box Method:
(x + 1)(x + 2)
x2 + 3x + 2
The quadratic equation has already been factored. Solve:
(x - 4)(x + 2) = 0
x = 4, -2
What is 32 x 310? (Keep in exponential form)
312
"I cut through the vertex and is usually invisible. I am the _ _ _"
Axis of Symmetry
7x = 56
x = 8
Multiply using FOIL or Box Method:
(x - 9)(x + 2)
x2 - 7x - 18
The quadratic equation has already been factored. Solve:
(3x - 1)(x + 3) = 0
x = 1/3, -3
If ax x ay = ax+y ,
What is 520 x 5-9? (Keep in exponential form)
"I can tell you y...because I hit the y-axis."
Y-Intercept
x = 22
Multiply using FOIL or Box Method:
(2x - 4)(x + 2)
2x2 - 8
Solve by factoring:
x2 + 9x + 8
x = -8, -1
If ax /ay = ax-y ,
What is 412/48? (Keep in exponential form)
44
"I can come in a pair, on my own, or not at all. I am the roots. I am the zeros. I am the solutions. I am the _."
6x + 10 = 46
x = 6
Factor:
x2 - 9x + 8
(x - 8)(x - 1)
Solve by factoring:
x2 - 3x + 2
x = 1, 2
If ax /ay = ax-y ,
What is 92/95? (Keep in exponential form)
9-3
If you needed to solve a quadratic equation and you are allowed to use Desmos, what are you looking for?
The solutions are the x-intercepts of the parabola (if there is any).
-2(x - 8) = 100
x = -58
Factor:
x2 - 2x - 15
(x - 5)(x + 3)
Solve by factoring:
x2 + x - 20
x = -5, 4
If (ax)y is a(x)(y),
What is (13-4)5?
13-20