Respuesta :

As per given by question,

There are given many graph and function.

Now,

From first function,

[tex]f(x)=0.5(x-6)(x+2)[/tex]

Then,

[tex]\begin{gathered} f(x)=0.5(x^2+2x-6x-10) \\ =0.5x^2+x-3x-5 \\ =0.5x^2-2x-5 \end{gathered}[/tex]

now,

[tex]f(x)=0.5x^2-1.5x-5[/tex]

Now, from first graph,

for the first graph , the equation is,

[tex]f(x)=-2(x-1)(x+3)[/tex]

For the second graph,

The equation is,

[tex]f(x)=0.5(x-6)(x+2)[/tex]

Now,

For the third graph , the equation is;

[tex]f(x)=(x-3)(x+1)[/tex]

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