Quadratics
What does the c represent in Standard form? y=ax2+bx+c
The Y-intercept
How does h effect the graph.
y=a(x-h)2+k
Moves it left and right
(+moves to the left)
(-Moves to the right)
The constant you use in an arithmetic sequence.
Rate of Change
What are the coordinates of the y-intercept for the quadratic function:
y=-2x2 + 5x - 7
(0,-7)
How do you find the x-intercepts?
Set each factor to zero and solve for x.
Which form is best to use when trying to find x-intercepts?
Factored Form
How does k effect the graph.
y=a(x-h)2+k
Moves it up and down
(+ Moves it up)
(- Moves it down)
The constant you use to multiply in a geometric sequence.
Growth Factor
What determines whether a function will have a maximum or a minimum point?
If the leading coefficient is positive it will be a minimum and if it is negative it will be a maximum.
What are the x-intercepts of the following equation?
y=(x-26)(x-46)
(26,0) and (46,0)
Which form is best used to find the y-intercept?
Standard Form
What is the vertex?
y=5(x-3)2 - 2
(3,-2)
What is the rate of change?
2, 11, 20, 29
9
What is vertex for this quadratic function:
y = (x - 4)2
(4, 0)
Convert to standard form.
y=(x-9)(x+5)
x2-4x-45
What is the y-intercept of the following equation?
y=x2+16x-20
-20
How does the 5 effect your graph?
y=5(x-3)2 - 2
Shrinks your graph (More Narrow)
What is the growth factor?
5,60, 720, 8640
12
Evaluate this function with f(-5):
f(x) = 2x2 + 15x
-25
Convert to standard form.
y=(2x+7)(x+1)
2x2+9x+7
What are the x-intercepts of the following equation?
y=(x-4)(x+8)
(4,0) and (-8,0)
Does this graph have a maximum or a minimum?
y=-8(x+4)2+10
Max
Is this sequence geometric or arithmetic?
2, 4, 12, 48
Neither
The shape of the graph of a quadratic function.
A Parabola
Convert to standard form.
y=(x-9)2
x2-18x+81