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)

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1