Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 41E
Related questions
Question
Plot Points & Graph Cubic Function (No Table Given)
![### Graphing the Function \(y = (x - 4)^3 - 3\)
#### Instructions:
**Step 1: Finding Points**
Use any technology or graphing tool to identify and calculate at least four ordered pairs \((x, y)\) that satisfy the function \(y = (x - 4)^3 - 3\).
**Step 2: Plotting Points**
Use the graph and plot the points you found. Ensure these points are clearly marked on the provided graph.
**Visual Guide:**
At the center of this section, there is a Cartesian coordinate plane.
- The \(x\)-axis (horizontal) and \(y\)-axis (vertical) both range from -10 to 10.
- Points should be plotted at their respective \((x, y)\) coordinates.
**Step 3: Confirming Points**
Once you’ve plotted at least four points on the graph, click 'done plotting points' to finalize your graphing task.
#### Interactive Component:
- **Button:** `[ done plotting points ]` Click this once you've plotted at least four points.
- **Graph:** An interactive Cartesian grid to plot points by clicking on it. You can delete a point by clicking on it again.
**Reminder:**
- Make sure your points accurately represent the function \(y = (x - 4)^3 - 3\).
- Double-check your calculations and plot points correctly to ensure the graph is precise.
Happy graphing!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3881800d-403e-48ee-b09e-5a10e97c55e1%2F8cfe8013-078d-42a5-a989-fb09a77ca73f%2Fvshin1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Graphing the Function \(y = (x - 4)^3 - 3\)
#### Instructions:
**Step 1: Finding Points**
Use any technology or graphing tool to identify and calculate at least four ordered pairs \((x, y)\) that satisfy the function \(y = (x - 4)^3 - 3\).
**Step 2: Plotting Points**
Use the graph and plot the points you found. Ensure these points are clearly marked on the provided graph.
**Visual Guide:**
At the center of this section, there is a Cartesian coordinate plane.
- The \(x\)-axis (horizontal) and \(y\)-axis (vertical) both range from -10 to 10.
- Points should be plotted at their respective \((x, y)\) coordinates.
**Step 3: Confirming Points**
Once you’ve plotted at least four points on the graph, click 'done plotting points' to finalize your graphing task.
#### Interactive Component:
- **Button:** `[ done plotting points ]` Click this once you've plotted at least four points.
- **Graph:** An interactive Cartesian grid to plot points by clicking on it. You can delete a point by clicking on it again.
**Reminder:**
- Make sure your points accurately represent the function \(y = (x - 4)^3 - 3\).
- Double-check your calculations and plot points correctly to ensure the graph is precise.
Happy graphing!
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