### Family of Parabolas $y=(x-p)^2$

In this family, we have a slightly different quadratic function that shows us, very clearly, how the parabola shifts horizontally.

$P$ indicates the number of steps the parabola will move horizontally, to the right or to the left.

If $P$ is positive: (there is a minus sign in the equation) - The parabola will move $P$ steps to the right.

If $P$ is negative: (and, consequently, there will be a plus sign in the equation since minus by minus equals plus) - The parabola will move $P$ steps to the left.

**Let's see an example:**

The function $Y=(X+2)^2$

shifts two steps to the left.** Let's see it in an illustration:**