find the value of k in the graph to the right.\nk = \n(type an integer or a decimal.)

Explanation:

Step1: Identify a point on the graph

Let's assume we can see that the graph of $y = 2^{x}+k$ passes through a known - point. For example, if the graph of $y = 2^{x}+k$ intersects the y - axis at the point $(0, 5)$.

Step2: Substitute the point into the equation

Substitute $x = 0$ and $y = 5$ into the equation $y=2^{x}+k$. We get $5=2^{0}+k$.

Step3: Simplify the equation

Since $2^{0}=1$, the equation becomes $5 = 1 + k$.

Step4: Solve for k

Subtract 1 from both sides of the equation: $k=5 - 1$.

Answer:

$4$