Plotting Functions with Parameters: Linking function properties to its representation

Does the parable

$y=(x-2)(x+1)$

Is there a minimum or maximum point?

Minimal point

Does the parable

$y=-x^2+3x+9$

Is there a minimum or maximum point?

Highest point

Does the parable

$y=x^2+2x$

Is there a minimum or maximum point?

Minimal point

Does the parable

$y=-2x(x+1)$

Is there a minimum or maximum point?

Highest point

Does the parable

$y=6x-x^2$

Is there a minimum or maximum point?

Highest point

Does the parable

$y=2x(x+3)$

Is there a minimum or maximum point?

Minimal point

Does the parable

$y=-(x+1)(x-1)$

Is there a minimum or maximum point?

Highest point

Does the parable

$y=(x+1)(-x-1)$

Is there a minimum or maximum point?

Highest point