# For the parabola# x-3 = 1/8 (y+5)^2#, what are the coordinates of the vertex and focus and directrix?

##### 1 Answer

Vertex:

Focus:

Directrix:

#### Explanation:

First off, we should recognize that this graph opens to the right. This will be important later. To find the vertex, find the

**Vertex: #(3,-5)#**

Next, let's find the focus and directrix. First, though, we should find **the distance from the vertex to both the focus and the directrix.** How do we find that? You might have noticed

To find the focus, we need to start from the vertex. Since the focus is always on the axis of symmetry within the parabola, and since the parabola opens to the right, we need to move

Finally, the directrix will be