Vocab
Effects of "a"
More vocab
Factoring
Graphs
Find the vertex
100
The name of the highest or lowest point in a parabola.
What is the vertex.
100
This letter refers to the leading coefficient of a quadratic equation.
What is the letter "a"
100
Line divides the parabola in half, resulting in a mirror image.
Axis of symmetry
100
Factor m2 + m − 90
(m − 9)(m + 10)
100
The graph of a quadratic makes this u-shaped curve.
What is a parabola?
100
Find the vertex and axis of symmetry.
y=(x-3)2+4
Vertex: (3, 4)
Axis of symmetry: x=3
200
A polynomial function of degree 2.
What is a quadratic function.
200
The "a" value in the quadratic:
4x2 - 7x +3
What is 4.
200
y = x2 is the __________ of all quadratics.
What is the parent function.
200
Factor b2 + 16b + 64
(b + 8)2 or (b+8)(b+8)
200
What is the vertex ?
(-3,-2)
200
Find the vertex and axis of symmetry.
y=(x+1)2-8
Vertex: (-1, -8)
Axis of symmetry: x=-1
300
These are also referred to as the "roots" or "zeros" of a parabola.
What are the x-intercepts.
300
When "a" is __________, the parabola opens downward.
What is negative?
300
4x2 -28x + 49 is an example of this special type of 3-termed polynomial
What is a perfect square trinomial?
300
Factor 5v2 − 30v + 40
5(v − 2)(v − 4)
300
What is the equation of the axis of symmetry?
x = -1
300
Find the vertex and axis of symmetry.
y=x2-4x-5
Vertex: (2, -9)
Axis of symmetry: x=2
400
This is the general equation for a quadratic in standard form.
What is y = ax2 + bx +c
400
What rule must "a" follow in order to result in a parabola wider than the quadratic parent function?
The absolute value of a must be between 0 and 1
400
In the graph of an exponential function, this is the name of the line that can never be crossed.
What is the asymptote?
400
Factor 4x2 -28x + 49
(2x - 7)2
400
Name the roots of the quadratic.
What are 0 and 4.
400
Find the vertex and axis of symmetry.
y=2x2+4x-6
Vertex: (-1, -8)
Axis of symmetry: x=-1
500
A quadratic written in the form y = a(x-h)2 + k is called _________ form
What is vertex form.
500
This is the equation for a quadratic that is reflected over the x-axis, vertically scaled by a factor of 2, and translated up 1.
What is y = -2x2 + 1 ?
500
x = -b/(2a)
is the formula to find what special feature of a parabola?
The axis of symmetry
500
Factor 27x2 + 36x + 12 completely.
3(3x+2)2
500
The roots of a quadratic whose graph never crosses the x-axis are called ___________ roots.
What are "imaginary."
500
Find the vertex and axis of symmetry.
y=½x2+3x+4
Vertex: (-3, -0.5)
Axis of symmetry: x=-3