A quadratic function is any function that can be written in the form , where a, b ,and c=R and a didn’t =0.
This is called the general form of the equation of a quadratic function.
The graph of ever quadratic function is a curve called a parabola.
The vertex of a parabola is its highest or lowest point . the vertex may be a minimum point or a maximum point.
The axis of symmetry intersects the parabola at the vertex.The parabola is symmetrical about this line.
The X-intercept is mean the points that when the parabola touch the horizontal line and the Y-intercept is mean the points that when the parabola touch the vertical line.
Analyzing quadratic functions of the form:
is the parents function,
The vertex is (0,0)， X-intercept is (0,0),Y-Intercept is (0,0)
We learned a new one:
This R is a positive number, if this number change to the more and more big, it will make the parents function goes up (+R),and the vertex goes up too.
The second one is :
This R is a positive number,if this number change to the more and more small, it will make the parents function goes down(-R),and the vertex goes down too.
The third one is , |a|>0
when |a|>1, the parabola will be more and more skinnier with the ‘a’number goes more and more big,
when |a|<1,the parabola will be more and more compression with the number goes more and more small.
WARN: If the “a” is a negative number the parabola opens down, if the “a “is a positive number , the parabola opens up
The fourth function is
The R is a positive number, so the size of this number is the distance to the left the parents function
The fifth function is
The R is a negative number, the size of this number is the distance to the right the parents function
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