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]}