In the equation y = ab(x – h) + k, how does the value of k affect the graph?

1 answer

The value of k in the equation y = ab(x – h) + k determines the vertical shift of the graph.

If k is positive, the graph is shifted upward by a distance of k units. This means that for every x-value, the corresponding y-value is increased by k units.

If k is negative, the graph is shifted downward by a distance of |k| units. This means that for every x-value, the corresponding y-value is decreased by |k| units.

In summary, the value of k in the equation y = ab(x – h) + k determines the vertical position of the graph.