A quadratic equation has solutions $x=\pm5$x=±5. What must the equation be?

$x^2$x2 $=$= $\editable{}$

The nonzero solution of the equation $x\left(x+a\right)=0$x(x+a)=0 is $x=-1$x=−1. What is the value of $a$a?

Form a monic quadratic equation which has solutions $x=0$x=0 and $x=-1$x=−1.

Form a monic quadratic equation which has solutions $x=-3$x=−3 and $x=-5$x=−5. Express the equation in expanded form.

Determine the equation, in the form y = a(x – h)2 + k, of a given graph of a parabola.