QUADRATICS questions !!!please answer questions 1, 2, 3 http://www.geogebra.org/en/upload/files/MSP/EvonnePankowski/Multimedia1_EHP.html Thank you

You need to find how to relate the coefficients of
quadratic to the shape of parabola.

You should know that if
the coefficient a>0, then the parabola is concave up and if a<0, then the
parabola is concave down.

You also need to remember that
the x coordinate of vertex expresses the horizontal shift of parabola, while y
coordinate represents the vertical shift.

You need to solve
the equation   for x to find the horizontal shift, hence you should
complete the square such that:

0

0

c/a

You need to bring to a common denominator the terms
from the right side such that:

4ac)/(4a)

You need to take square root such
that:

4ac)/(4a))

4ac))/(2a)

Hence, if
-b/(2a)

The y coordinate of the vertex is
-Delta/(4a)
parabola.

Hence, the coefficient a indicates
if the parabola is concave up or down and the coordinatesof the vertex indicate the
horizontal and vertical shifts of parabola.