Answer: The vertex is (-4,-5) and the axis of symmetry is x=-4.
Step-by-step explanation:
Given:
f(x)=(x+4)^2-5
The graph for the given equation is:
The point for the vertex is at (-4,-5) and it is also the minimum coordinate.
To find the axis of symmetry, we rewrite first the equation y=(x+4)^2-5 in the form y=ax^2 +bx +c.
So,
Let:
a=1, b=8, c =11
The formula for the axis of symmetry is:
We plug in what we know.
The axis of symmetry is x=-4.
Therefore, the vertex is (-4,-5) and the axis of symmetry is x=-4.