Parabola

What are the zeros of this parabola?

Let's find the equation that shifts the parabola y=x²−4x+7 three spaces on the x-axis and -2 spaces on the y-axis.

And it saves his life. As he's buzzing down a curving, narrow canal, a narrow green parabola appears hanging across the water in front of him, suddenly rising out of the water and snapping into a perfectly straight line at neck level.