Parts of a Parabola
"I am either the highest or lowest point of the parabola. I am the _?"
Vertex
"a" is the number that is in front of the quadratic equation for vertex AND standard form. What does it mean?
Direction and width.
(Points allowed for one or both)
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 the slope of this linear function?
y = 2x - 3
m = 2
"I cut through the vertex and is usually invisible. I am the _ _ _"
Axis of Symmetry
Write out standard form for a quadratic function.
y= ax2 + bx + c
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 I had a table whose y-values were doubling, which function would it be?
Exponential
"I can tell you y...because I hit the y-axis."
Y-Intercept
Write out the vertex form for a quadratic function.
y = a(x - h)2 + k
Multiply using FOIL or Box Method:
(2x - 4)(x + 2)
2x2 - 8
Solve by factoring:
x2 + 9x + 8
x = -8, -1
Solve:
(-9 - 8) + 15 = ?
-2
"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 _."
What is the y-intercept for this function?
y = x2 + 2x - 3
-3 or (0, -3)
Factor:
x2 - 9x + 8
(x - 8)(x - 1)
Solve by factoring:
x2 - 3x + 2
x = 1, 2
Simplify:
3(2x + 8) - 3x = ?
3x + 24
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).
What is the vertex of this function?
y = (x + 2)2 - 4
Factor:
x2 - 2x - 15
(x - 5)(x + 3)
Solve by factoring:
x2 + x - 20
x = -5, 4
What is the greatest common factor between these terms?
121, 22x, 55y, 110, 132
11