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

##### 1 Answer

Vertex and y - intercept at

#### Explanation:

Using the discriminant of the quadratic formula:

As the discriminant is less than

To find the

To find the vertex, normally we could use the intercepts but this quadratic doesn't have any. We can use the vertex/ completed square form of the quadratic,

Where the vertex is

Note it is already in this form, i.e:

So reading off the values we get

Here is a graph of the parabola to better your understanding of what is going on, notice the parabola does not intercept the

graph{x^2+3 [-9.25, 10.75, -1.12, 8.88]}