The vertex of a parabola is (-1, 4). What is the equation of the axis of symmetry of the parabola?

Assuming the parabola is in "standard" position (i.e. not rotated) and has a formula y=ax^2+bx+c

Then if the vertex is at (-1,4)

the axis of symmetry is a vertical line through (4,-1)

and since a vertical line has the form x=k for some constant k

the equation for the axis of symmetry is

x=4

(Note that if the parabola has been rotated there is no way from the given information to establish the axis of symmetry).

Step-by-step explanation:

The vertex is given (-1, 4).

The axis of symmetry is a vertical line and passes through vertex.

Since the x- coordinate of vertex is  - 1, the line of symmetry is x = - 1.