Parábola or quadratic functions

Secondary. Age 15-16 years.
An expression of type

where with

quadratic function is called and is represented in parables.

If a>0, the branches of the parabola going up.
If a<0, the branches of the parabola going down.

The vertex is the point of and has a vertical axis of symmetry of equation

The cuts to the axes are obtained by finding  for cutting with axis Y, and solve equation for the possible cutting with axis X (and second coordinate 0).

Optionally you can make a small table of values for complete information.

Example

1 .- Represented graphically, obtaining the elements of the parabola:

a)

b)

c)

Exercise

1. Represented graphically the next parabolas .
   • 
   • 
   • 
2. Solve the following quadratic equations by applying the formula for solving quadratic equations:

a)
b)
c)
d)
e)

Sol: a) 2 y 3 b) 3 y -2 c) -5 y 2 d) -6 y 6 e) -7 y 5

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