Precalculus 2014

 PAGE: 428 SET: Exercises PROBLEM: 1

The equation is .

Since the square term is , the parabola is vertical.

Standard form of the vertical parabola is ,

where is vertex.

Focus .

Axis of symmetry .

Directrix .

The parabola equation .

Compare the above equation with .

Since , the parabola opens up.

Vertex

Focus

Axis of symmetry

Directrix .

Graph the vertex, focus, axis of symmetry and directrix.

Construct a table of values to graph the general shape of the curve.

.

Solve for .

.

Plot the points and connect the curve.

Graph:

Graph of :

Vertex .

Focus .

Axis of symmetry .

Directrix .

Graph of :

.

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