# How do you graph the parabola # y = 2(x - 1)^2 - 5# using vertex, intercepts and additional points?

##### 1 Answer

See below.

#### Explanation:

The vertex form of a quadratic is given as:

Where:

The vertex of a parabola is the point where the curve turns, this is always at a maximum or a minimum value.

The coordinates of the vertex are:

Our function is in vertex form and from this we note that:

So the coordinates of the vertex are:

Be careful when finding

Other useful points for graphing are:

Coordinates:

Taking roots:

Coordinates:

We know have four point in which to graph the function:

GRAPH: