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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=a(x-p)^2+q

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=a(x-p)^2+q 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 x^2 is positive and the parabola is opening up and the maximum is whe  the coefficient of x^2 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=3(x-2)^2+1

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 x^2 I positive

AOS= 2 because p in the equation is positive 2

Opening up

Minimum point

x int= none

y int= 13 because

y=a(x-p)^2+q y=3(0-2)^2+1 y=3(4)+1 y=12+1





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