Question

What does the line X=-1 represents in y=-2(X+1)^2+6

Answer 1

axis of symmetry

Explanation:

The line X = -1 is the vertical axis of symmetry for the graph of the equation. It divides the graph into two equal parts, such that if a point (x, y) lies on one side, its symmetrical counterpart (-x, y) lies on the other side of the line.

Answer 2

x = - 1 is the axis of symmetry

Explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

y = - 2(x + 1)² + 6 ← is in vertex form

with (h, k ) = - 1, 6 ) ← coordinates of vertex

the line of symmetry of a parabola is a vertical line, passing through the vertex with equation

x = c ( c is the value of the x- coordinate of the vertex , that is - 1 , then

x = - 1 ← equation of axis of symmetry