Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
Given the equation of parabola
[tex]y=-5(x+4)^2+3[/tex]
This is the vertex form of the parabola equation. Hence, the vertex of the parabola is at point [tex](-4,3)[/tex]
This parabole goes downwards in y-direction (the leading coefficient -5 is negative)
The axis of symmetry of parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.
Thus, the equation of the axis of symmetry is
[tex]x=-4[/tex]
