https://file.aiquickdraw.com/mathbot/file/1728791517411ofwpeww0.jpg

The image shows a question asking which transformation corresponds to the red dashed graph based on the black solid graph, given that the solid graph represents \( y = f(x) \). The provided answer options seem to be transformations of the function \( f(x) \).

To determine the correct transformation, we need to analyze how the red dashed graph is related to the black solid graph. By looking at the red dashed graph, we can see the following changes compared to the black solid graph:

1. The red dashed graph is vertically shifted up by 4 units. This suggests a vertical translation by 4 units, which corresponds to the transformation \( y = f(x) + 4 \).

Therefore, the correct function for the red dashed graph is likely \( y = f(x) + 4 \), which matches the vertical shift we observed.

Let me know if you'd like more details or clarifications on this problem.

Here are 5 related questions:
1. What is the effect of a horizontal shift on a function?
2. How does a reflection over the y-axis affect the function's graph?
3. What transformation would result from the function \( y = f(x - 3) \)?
4. How do vertical stretches and compressions affect the graph of a function?
5. How would the graph of \( y = -f(x) \) compare to the original function?

**Tip:** A vertical shift by \( k \) units is represented by \( y = f(x) + k \), where positive \( k \) moves the graph up and negative \( k \) moves it down.

The graph of y = f(x) is the solid black graph below. Which function corresponds to the red dashed graph?

Learn how to identify function transformations, specifically vertical shifts, by analyzing graph changes. This problem compares the solid graph of y = f(x) with the red dashed graph and explains how vertical translations affect the function. Ideal for Grades 9-11 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation