Completing the Square Practice Problems Online

The quadratic expression $x^2-18x+112$ can be rewritten as $(x-a)^2+b$ . What is the value of $a+b?$

If $3x^2-6x+15=a(x-b)^2+c,$ what is the value of $a+b+c$ ?

As $x$ ranges over all non-negative real numbers, what is the smallest possible value of $x-12\sqrt{x}+108?$

If $\frac{1}{3}x^2+6x+10=\frac{1}{a}(x+b)^2-c,$ what is the value of $a+b+c$ ?

What do we get when we complete the square for

$-\frac{1}{2}x^2+5x+2?$

-\frac{1}{2} ( x - 5 ) ^2 +29

-\frac{1}{2} ( x - 5 ) ^2 -29

-\frac{1}{2} ( x - 5 ) ^2 + \frac{ 29}{2}

-\frac{1}{2} ( x - 5 ) ^2 - \frac{ 29}{2}

Completing the Square