Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![The image shows a coordinate plane graph with a parabola.
### Graph Details:
- **Axes:** The graph is drawn with both the x-axis and y-axis visible, each marked with unit intervals.
- **X-axis Range:** -6 to 6
- **Y-axis Range:** -8 to 8
- **Parabola:** The graph depicts a downward-opening parabola with its vertex at the origin (0,0) and symmetrical along the y-axis.
### Problem Statement:
"Write an equation for the graph above."
### Equation Box:
The image includes a placeholder for the equation:
\[ f(x) = \]
To identify the specific equation of the parabola, observe the graph's structure and symmetry. Since the vertex is at the origin and it's a downward-opening parabola (suggesting a negative coefficient for \( x^2 \)), this can be represented in general form as:
\[ f(x) = -ax^2 \]
An accurate equation will be established by evaluating the scale and using specific points for calculation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70b60ced-74b2-4d71-a3b0-078cfcc65c2f%2F158c3175-a437-4376-acc0-771e62d03b52%2Fn895f3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image shows a coordinate plane graph with a parabola.
### Graph Details:
- **Axes:** The graph is drawn with both the x-axis and y-axis visible, each marked with unit intervals.
- **X-axis Range:** -6 to 6
- **Y-axis Range:** -8 to 8
- **Parabola:** The graph depicts a downward-opening parabola with its vertex at the origin (0,0) and symmetrical along the y-axis.
### Problem Statement:
"Write an equation for the graph above."
### Equation Box:
The image includes a placeholder for the equation:
\[ f(x) = \]
To identify the specific equation of the parabola, observe the graph's structure and symmetry. Since the vertex is at the origin and it's a downward-opening parabola (suggesting a negative coefficient for \( x^2 \)), this can be represented in general form as:
\[ f(x) = -ax^2 \]
An accurate equation will be established by evaluating the scale and using specific points for calculation.
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