Interpret axis of Symmetry on the left side of the axis, the height increases ? decreases? Stays the same? as time increases? decreases? Stays the same? on the right side of the axis the height increases? decreases? stays the same? as time increases? decreases? Stays the Same?​



Answer :

The axis of symmetry is a vertical line that divides a graph into two symmetric halves.

- On the left side of the axis of symmetry, as time increases, the height generally decreases if the function represents a downward-opening curve like a parabola or an exponential decay function. If the function represents an upward-opening curve like a cubic function, the height generally increases as time increases on the left side of the axis.

- On the right side of the axis of symmetry, the trend is typically opposite to the left side. If the function represents a downward-opening curve, the height generally increases as time increases on the right side of the axis. Conversely, if the function represents an upward-opening curve, the height generally decreases as time increases on the right side of the axis.