### Home > A2C > Chapter 11 > Lesson 11.1.2 > Problem 11-19

11-19.

On graph paper, sketch the parabola that is the set of all points equidistant from the focus (3, 0) and the directrix

*x*= −5. Homework Help ✎Find and simplify the equation of the parabola.

Change the equation of the parabola to shift the graph up 3 units. What would the vertex of the new parabola be?

Find the expressions for the distance from the directrix to the point (*x*, *y*) and the distance from the focus to the same point, then set both of them equal to each other.

Now simplify.

Subtract 3 from *y* before squaring to shift the graph up 3 units.