How does a) and b) fish logo work?

Can anyone tell me how to proceed with a) and b)?

And sorry for the quality of the picture, my camera just takes terrible pictures on principle.

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Rammstein53
10 months ago

(a)

The following values can be read at graph f:

f(0) = 2, f(-4) = 0, f(4) = 0

These equations fill f(x). In addition, a square function can have at most two zeros.

(b)

g has the same zero points as f. First approach:

g(x) = a*(x+4)*(x-4)

In addition:

g(0) = a*(-16) = -3

This follows:

g(x) = 3/16*(x+4)*(x-4) = 3/16*x2 – 3