a)

$f\left(x\right)=-3{\left(x-4\right)}^2-2$

więc

$a=-3,p=4,q=-2$

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b)

$f\left(x\right)={\left(x+2\right)}^2-6$

więc

$a=1,p=-2,q=-6$

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c)

$f\left(x\right)=-\frac{1}{2}{x}^2=-\frac{1}{2}{\left(x-0\right)}^2$

więc

$a=-\frac{1}{2},p=0,q=0$

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d)

$f\left(x\right)=-{\left(x+1\right)}^2$

więc

$a=-1,p=-1,q=0$

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e)

$f\left(x\right)=10x^2+30=10{\left(x-0\right)}^2+30$

więc

$a=10,p=0,q=30$

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f)

$f\left(x\right)=\frac{1}{2}{\left(x-\frac{1}{2}\right)}^2-\frac{1}{2}$

więc

$a=\frac{1}{2},p=\frac{1}{2},q=-\frac{1}{2}$