Quadratic Functions (Graphing, Vertex, and Line of symmetry)
what is the quadratic formula?
x = (-b ± √(b2 − 4ac))/(2a)
What axis do zeros go through?
The x-axis
What kind of function forms a straight line on a graph?
Linear Function
How many axes does a graph have?
2
What is the formula for exponential equations?
y=ab^x
What are the two types of vertices in quadratic equations on graphs?
Maximum and Minimum
How many zeros can a quadratic function have?
one, two, or zero
What is the main formula for linear equations?
y=mx+b
What point on a graph is the origin?
(0,0)
Is the following growth or decay?
f(x)=4^x
growth
Find the vertex of
y=2x^2+4
(0,4)
How do you find the zeros of a quadratic function?
Setting the function to zero and the x values are the zeros
What is the slope of y=3x-5
m=3
What type of function would the equation be on a graph?
y=3x-9
Linear
What do the a and the b represent in the formula?
a= y-intercept
b= slope
What equation would you use to find the Line of Symmetry?
x = -b / 2a
What are the zeros for the equation: f(x)=6x^2-6
x=1
x=-1
What do the m and the b represent in the formula?
m= slope
b= y-intercept
Linear Function, Nonlinear Function, or not a function? 2x-3y=18
Linear Function
Is the following growth or decay?
f(x)=9(0.45)^x
decay
What is a vertex?
where 2 lines connect.
What are the zeros for the equation: f(x)=-2x^2+8
x=2
x=-2
Find the slope of 6x+5y=30
6/5
What is the name of the method used to determine whether a graph is a function or not?
Vertical Line test
What is the growth factor?
f(x)=2(3)^x
3