# How do you find the vertex?

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#y=x(x-2)#

##### 2 Answers

See below

#### Explanation:

I assume you meant x(x-2)=0. Expressions like the one you wrote don't have vertices because they can't be graphed on a two-dimensional graph.

First, expand the expression on the left using the distributive property:

Now, you can write the expression in standard form:

To find the axis of symmetry, on which the vertex lies, use the equation

To find the y-coordinate of the vertex, substitute the x-coordinate into the equation:

So the vertex of

The vertex is

#### Explanation:

Given:

Expand the right-hand side.

This is a quadratic equation in standard form:

where:

To find the vertex of a quadratic equation in standard form, use the formula for the axis of symmetry to find the x-coordinate. Then substitute the

Substitute

The vertex is

graph{y=x^2-2x [-10, 10, -5, 5]}