Parabola of the Form y=(x-p)²: Determine the algebraic representation of the following descriptions

Which of the follling represents a function that has a parabola with a minimum point of $(2,0)$?

$y=(x-2)^2$

Which function corresponds to a parabola with a minimum point of $(-2,0)$?

$y=(x+2)^2$

Choose the function that represents the parabola $y=x^2$

positive in all areas except $x=2$.

$y=(x-2)^2$

Which function corresponds to the parabola with a maximum point of
$(4,0)$?

$y=-(x-4)^2$

Which function corresponds to a parabola with a minimum point of $(-5,0)$?

$y=-(x+5)^2$

Which parabola is the translation of the graph of the function $y=-x^2$

and is negative in all domains except$x=-4$?

$y=-(x+4)^2$

Which parabola is the translation of the graph of the function $y=x^2$

and is positive in all areas except$x=-3$?

$y=(x+3)^2$

Which parabola is the translation of the graph of the function $y=x^2$

and is positive in all areas except$x=4$?

$y=(x-4)^2$

Which parabola is the translation of the graph of the function $y=-x^2$

and is negative in all domains except$x=2$?

$y=-(x-2)^2$