Math Problem Statement
using the first image as an example solve the equation on the second image
Solution
To solve the equation in the second image, which asks to find the value of based on the graph of , we will follow the same approach used in the first image example.
Steps:
-
Locate on the horizontal axis.
- On the graph, find the point where .
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Determine the corresponding -value.
- Find the point on the graph at and trace vertically to where it intersects the curve .
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Read the -coordinate.
- At , the curve reaches a -value of .
Solution:
Thus, .
Do you want further details or have any questions about the solution?
Here are 5 related questions:
- How do you find for any given value of from a graph?
- What is the significance of the maximum point on the graph of ?
- How do you determine the symmetry of a graph like this?
- Can you explain what the -intercepts represent for the function ?
- What would be based on the second graph?
Tip: When analyzing a graph, always double-check the axis scales to ensure correct - and -coordinate interpretation.
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Math Problem Analysis
Mathematical Concepts
Functions
Graph Analysis
Quadratic Functions
Formulas
None - Graphical Interpretation
Theorems
None explicitly required, but understanding of function behavior and graphing principles
Suitable Grade Level
Grades 8-10