The given equation is $y = 2^x$. To rewrite this in the form $y = a(2)^x + c$, let's compare it to the desired form.

In your equation $y = 2^x$:

• The base of the exponential function is 2, which matches the form $(2)^x$.
• There’s no constant multiplier in front of $2^x$, so we can assume $a = 1$.
• There is no constant added to the expression, so $c = 0$.

Thus, the equation can be rewritten as: $y = 1 \cdot (2)^x + 0$

Or simply: $y = (2)^x$

If you want to adjust the values of $a$ and $c$, you can do so by changing the multiplier and constant accordingly.

Would you like to explore more examples or variations of this equation?

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Here are five related questions you might consider:

1. What happens to the graph of $y = 2^x$ if we change the value of $a$?
2. How does adding a constant $c$ affect the graph of $y = 2^x$?
3. Can you describe the transformation when $a$ is negative in $y = a(2)^x + c$?
4. How does the equation $y = 2^{x+1}$ differ from $y = 2^x$?
5. What is the effect of changing the base from 2 to another number, such as $y = 3^x$?

Tip: Adding a constant $c$ to the equation $y = 2^x$ will shift the graph vertically, while changing $a$ will stretch or compress the graph.