# How do you find the vertex, x and y intercepts for #f(x) = -3x^2 + 6x -2#?

##### 2 Answers

Vertex

Having shown you a cool trick to get the value of

#### Explanation:

Given:

Write as:

Now consider the

Multiply this value by

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Compare this to the graph:

Ok! You have now found the value for

Substitute this back into equation (1) to find the value for

I will let you do that!

Vertex (1, 1)

y = -2

#### Explanation:

x-coordinate of vertex:

y-coordinate of vertex:

Vertex (1, 1)

To find y-intercept, make x = 0 --> y = -2

To find x-intercepts, make y = 0 and solve: