https://file.aiquickdraw.com/mathbot/file/1726682856559b8gcfa7q.jpg

The given question asks to find the function \( g(x) \) that results from shifting the function \( f(x) = 2^x \) one unit upward.

To solve this, note that a vertical shift of one unit upward for any function \( f(x) \) results in a new function given by:
\[
g(x) = f(x) + 1
\]
Since \( f(x) = 2^x \), applying this transformation yields:
\[
g(x) = 2^x + 1
\]

Therefore, the correct answer is \( g(x) = 2^x + 1 \), which corresponds to option **A**.

Let me know if you need further details, and feel free to ask more questions! Here are some related questions:

1. What is the effect of shifting a function horizontally?
2. How does multiplying a function by a constant affect its graph?
3. What happens when you reflect a function across the x-axis?
4. Can you describe the transformation when a function is shifted downward by 3 units?
5. How would the graph of \( f(x) = 2^x \) change if the function were \( f(x) = 2^{-x} \)?

**Tip:** Remember that shifting a function upward or downward does not change its overall shape, only its vertical position.

ما الدالة الناتجة من انسحاب الدالة f(x) = 2^x وحدة واحدة إلى الأعلى؟

This problem focuses on determining the function resulting from shifting f(x) = 2^x one unit upward. Explore key concepts such as vertical shifts and exponential functions. Suitable for high school students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation