Q75. - Algebra 2

Question

Describe the effect of changing the value of h and k in the equation $y=2^{x-h}+k$.

Step-by-Step Solution

Answer

Any change in the value of k shifts the horizontal asymptote $y=k$ and any change in the value of h shifts the graph from left or right or from right to left depending upon the value of h.

Step 1. Write down the given equation.

The given equation is $y=2^{x-h}+k$.

Step 2. Simplify the equation.

From the given equation $y=2^{x-h}+k$, it can be interpreted that any change in the value of k shifts the horizontal asymptote $y=k$of $y=2^{x-h}+k$ and any change in the value of h shifts the graph to left or right.

Step 3. Conclusion.

It can be concluded that any change in the value of k shifts the horizontal asymptote $y=k$ and any change in the value of h shifts the graph from left or right or from right to left depending upon the value of h.