Use technology to find points and then graph the function y = (x-4)³ - 3, following the instructions below.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 41E
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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!
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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