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?
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 am 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 every time, which type of function would it be?
Exponential
"I can tell you the ______ 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:
3(2x−5)+4 = 2(x+7)+6
31/4 or 7.75
"I am the roots. I am the zeros. I am the solutions. I am the ____."
X-Intercept(s)
Use complete the square method to find the vertex for this function.
y = x2 + 2x - 3
(-1, -4)
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 that is set = 0, what are you looking for?
The solutions are the x-intercepts of the parabola (where it hits the x axis).
What is the vertex of this function?
y = (x + 2)2 - 4
(-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