What is the vertex of #y=5(x+3)^2-9 #?
1 Answer
The vertex coordinates are:
Explanation:
There are two ways to solve it:
1) Quadratics:
For the equation
The
The
So now, we have to expand the equation we have to get it in quadratic form:
Now,
Thus, the
becomes:
Thus, since
2) This is the easier way of doing it - by using the Vertex Formula:
In the equation
We are already given an equation in the Vertex format, so it is easy to find out the Vertex coordinates:
can be rewritten as:
Now we have it in the Vertex-form, where
So, the Vertex coordinates are:
Tip: you can change an equation in a quadratic form to a vertex form by completing the square. If you are not aware of this concept, search it up on the Internet or post a question on Socratic.