© 2018 danted2015
## Week 7- Quadratic Functions

This week we were learning about the properties of quadratic functions and we found out how to find those properties by looking at an equation.

Equation: the equation we use to find the parts of a graph is y=

Vertex: The vertex is the most important thing to find because it leads to a lot of other parts in the graph.To find the vertex we look at the equation y= and the coordinates of the vertex are (p,q)

Domain: Domain all possible values of x . Domain is always xER

Range: Range is all possible values of y. Need to graph the parabola out to mak sure make the range is.

Minimum and Maximum: Minumum is when the coefficient of is positive and the parabola is opening up and the maximum is whe the coefficient of is negative and the parabola is opening down

Axis of symmetry: the AOS is a line which goes right through the vertex. To find the AOS just need to have the p of the equation y=$latex a(x-p)^2+q$

Y intercept: is when the parabola passes through the y axis

X intercept: is when the parabola Passé through the x axis

Ex: y=

By using the equation and graphing out the parabola we can find out that

Vertex = (2,1)

Domain= xER (because it will always be like this)

Range= Y is the sam or bigger than 1

opens up because the I positive

AOS= 2 because p in the equation is positive 2

Opening up

Minimum point

x int= none

y int= 13 because

Y=13