This week we started with new chapter: Solving quadratic inequalities in one variable. I think it same with quadratic function. So we can factor to solve it. So now let’s start with example.

Example :

2x-8>0

2x>8

x>4

4 is boundary points

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This week we started with new lesson : Graphing Quadraction Functions about the determine the value of vertex, formula, what the graph looks like and how to draw the parabola.

So let’s start the things I studies in this week :

: It is general form of quadratic

With a (coefficent) it will helps us know the graph will be big or small.

Also, we can know : If quadratic positive , the parabola will be go up (+) and contrast if quadratic negative , the parabola will go down.

It will be like this in graphing:

Vertex : highest and lowest point (-1,4)

Axis of Symmetry : which the parabola is symmetric (-1) of above picture

x-intercepts : zero of function or we can determine it by Quadractic Formula

y-intercepts : it depends on c

Maximum point : when the graph opens down Because the intersection point between x and y is at the top

Minimum point : when the graph opens up so the intersection point between x and y is at the bottom

Pattern of Parent Function :

it will show stretch / compress : 1,3,5,7,9..

But if the stretch / compress : 2,4,6,10..

Domain : the value of x and the complete set of possible values of the independent variable, make sure it is real number.

Range : the value of y

: depends on the value of p, It will move to right or left

Let’s star with example :

: when p is positive the vertex move to left

: when p is negative the verter move to right