Assignment 2

by

Shridevi kotta

This write up explores equation of parabola, y = ax²+bx+c.

We observe that with b = c = 0, “a” 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 “y”.

Let’s see how the “c” affects the graph.

We observe that “c” shifts the graph along y-vertical translation is determined by c. (since the equation is y = ax²+bx+c)

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

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

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