Quadratic Graph of $y=(x-a)^2$ Form

Graph of $y=x^2$

Parabola

Graph of $y=(x-1)^2$

Shift $y=x^2$ to the right by 1 unit. Parabola shifted to the right by 1 unit

Graph of $y=(x+1)^2$

Shift $y=x^2$ to the left by 1 unit. Parabola shifted to the left by 1 unit

Graph of $y=-(x-1)^2$

Shift $y=x^2$ to the right by 1 unit and reflect by $x$-axis. Parabola shifted to the right by 1 unit then reflected against x-axis

Graph of $y=-(x+1)^2$

Shift $y=x^2$ to the left by 1 unit and reflect by $x$-axis. Parabola shifted to the left by 1 unit then reflected against x-axis