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Graph the parabola. y= 3x? Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button. 12- 10- 8- -12 图x

Graph the parabola. y= 3x? Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button. 12- 10- 8- -12 图x

Algebra and Trigonometry (6th Edition)
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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### Graphing a Parabola of the Form y = ax² In this activity, you will learn how to graph a parabola given by the equation y = 3x². Follow the steps below to create your graph. **Step-by-Step Instructions:** 1. **Identify the Equation:** The equation provided is y = 3x². 2. **Plotting Points:** - Begin by plotting the vertex of the parabola. The vertex for this equation is at the origin (0,0). - Next, plot two points to the left of the vertex and two points to the right of the vertex. Select these points based on the value of 'x' and calculate corresponding 'y' values. 3. **Graph the Parabola:** - Click on the graph-a-function button to complete the graphing. **Graph Details:** - The graph is set on a coordinate plane with both x-axis and y-axis ranging from -12 to 12. - The curve of the parabola opens upwards due to the positive coefficient of x² (which is 3 in this case). **Interactive Tools:** - The graph interface includes several tools: - **Eraser:** Clears the plot. - **Pencil:** Helps to plot points manually. - **Square Grid Tool:** Ensures accurate plotting on the grid. - **Check Button:** Verifies if the plotted points and curve are correct. - **Explanation Button:** Provides detailed explanation if needed. Use these tools to aid in plotting and verifying your graph accurately. Once all points are plotted, your parabola graph should depict the function y = 3x² correctly.
Transcribed Image Text:### Graphing a Parabola of the Form y = ax² In this activity, you will learn how to graph a parabola given by the equation y = 3x². Follow the steps below to create your graph. **Step-by-Step Instructions:** 1. **Identify the Equation:** The equation provided is y = 3x². 2. **Plotting Points:** - Begin by plotting the vertex of the parabola. The vertex for this equation is at the origin (0,0). - Next, plot two points to the left of the vertex and two points to the right of the vertex. Select these points based on the value of 'x' and calculate corresponding 'y' values. 3. **Graph the Parabola:** - Click on the graph-a-function button to complete the graphing. **Graph Details:** - The graph is set on a coordinate plane with both x-axis and y-axis ranging from -12 to 12. - The curve of the parabola opens upwards due to the positive coefficient of x² (which is 3 in this case). **Interactive Tools:** - The graph interface includes several tools: - **Eraser:** Clears the plot. - **Pencil:** Helps to plot points manually. - **Square Grid Tool:** Ensures accurate plotting on the grid. - **Check Button:** Verifies if the plotted points and curve are correct. - **Explanation Button:** Provides detailed explanation if needed. Use these tools to aid in plotting and verifying your graph accurately. Once all points are plotted, your parabola graph should depict the function y = 3x² correctly.
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