Assignment 2

by

Shridevi kotta

This write up explores equation of parabola, y =
ax^{2}+bx+c.

We observe that with b = c = 0, ÒaÓ determines
how the parabola is oriented and the curve rises, fast or slow. In other words,
how narrow or how wide the parabola is at a given ÒyÓ.

LetÕs see how the ÒcÓ affects the graph.

We observe that ÒcÓ shifts the graph along
y-vertical translation is determined by c. (since the equation is y = ax^{2}+bx+c)

Now, coming to the third parameter, b, we
observe the following.

So, b determines the horizontal translation. The
ÒbÓ value determines where the parabola intercepts the x-axis.