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.

 

Lets 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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