Polynomial coefficients and broadcasting

Here is fun way to use broadcasting to get a hang of how each coefficient of a polynomial equation affects the behavior of its curve. We will use the following polynomial for this demo:

Define coefficients first:

• a0 = 0
• a1 = 1
• a2 = 0.4

Define the polynomial

• Define

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Change

This can be done in two ways:

Set the animation speed

• animate to 3
• animate back to 0

Another way is to visualize the plot for multiple values of :

• define as an array

Thus, simply translates the curve vertically.

You can also use a slider to change the values:

• Create an array of slider values
• Reset

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Change a1

Make sure to reset .

• Set to an array

You can also just animate it.

• Reset
• Animate to 3
• Animate to -3

Let's use a slider again:

• Create an array of slider values
• Reset

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Change

Lastly, you can try making the same changes to :

• Reset
• Animate to 2
• Animate it to 0

Now try broadcasting:

• Set to an array

Let's use a slider:

• Create an array of slider values
• Reset