How to find vertex of F (x) = (x+1) ^2 + 4

(-1,4)

Step-by-step explanation:

This is the equation of a parabola in 'rectangular form', meaning we can just use the translation of the graph y = x^2 (which has vertex (0,0) to get the vertex of this particular parabola.

In particular, the (x+1) part moves the graph to the left by 1, while the + 4 moves the graph up by 4. So the vertex is simply (-1,4)