Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![### Graphing Quadratic Functions
**Instruction**: Write the equation for the graphed function.
**Equation Placeholder**: \( y = \) [ ]
**Graph Description**:
- The graph shows a parabola that opens downwards.
- The vertex of the parabola appears to be at approximately \((-2, 4)\).
- The graph crosses the x-axis at two points, roughly at \((-4, 0)\) and \((0, 0)\).
- The y-axis serves as an axis of symmetry for the parabola.
### Diagram Details:
- **Axes**: The horizontal axis is labeled \(x\), and the vertical axis is labeled \(y\).
- **Grid**: The graph includes a grid for plotting, with increments of 2 on both axes.
- **Quadrant**: The graph primarily occupies the first and second quadrants.
**Note**: Use the graph to determine the specific characteristics of the quadratic function, such as the vertex or roots, to formulate the equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F851d2752-072d-460a-a1d8-2cb438e193a7%2F5686090e-27f4-4570-b265-83f7686aff0d%2Fx0wc5dt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Graphing Quadratic Functions
**Instruction**: Write the equation for the graphed function.
**Equation Placeholder**: \( y = \) [ ]
**Graph Description**:
- The graph shows a parabola that opens downwards.
- The vertex of the parabola appears to be at approximately \((-2, 4)\).
- The graph crosses the x-axis at two points, roughly at \((-4, 0)\) and \((0, 0)\).
- The y-axis serves as an axis of symmetry for the parabola.
### Diagram Details:
- **Axes**: The horizontal axis is labeled \(x\), and the vertical axis is labeled \(y\).
- **Grid**: The graph includes a grid for plotting, with increments of 2 on both axes.
- **Quadrant**: The graph primarily occupies the first and second quadrants.
**Note**: Use the graph to determine the specific characteristics of the quadratic function, such as the vertex or roots, to formulate the equation.
Expert Solution
Step 1
General equation of a parabola is: y = a(x-h)2 + k
where (h,k) denotes the vertex
Step by step
Solved in 2 steps with 1 images
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