Graphing Calculator Techniques and Concepts

This video tutorial demonstrates how to use a graphing calculator to find points of intersection between equations. It covers solving linear equations for y, entering them into the calculator, and graphing them to find intersection points. The tutorial also includes a section on graphing a quadratic equation and a linear equation to find their points of intersection. The video concludes with a summary of the process and encourages viewers to practice using their calculators.

What is the first step when using a graphing calculator to find points of intersection?

• Enter the equations as they are.

• Solve the equations for y.

• Solve the equations for x.

• Adjust the window settings.

How do you solve the equation 3y = -2x - 12 for y?

• Add 2x to both sides.

• Subtract 12 from both sides.

• Divide everything by 3.

• Multiply everything by 3.

What should you do if the point of intersection is not visible on the graphing calculator screen?

• Turn off the calculator.

• Re-enter the equations.

• Adjust the window settings.

• Press the reset button.

What is the solution to the system of equations represented by the point (3,-6)?

• The x-value is 3 and the y-value is -6.

• The x-value is 0 and the y-value is 1.

• The x-value is 4 and the y-value is 17.

• The x-value is -6 and the y-value is 3.

What type of graph is formed by a quadratic equation?

• A straight line.

• A circle.

• A parabola.

• An ellipse.

How do you adjust the graphing calculator to see higher points on the graph?

• Decrease the X minimum.

• Decrease the Y minimum.

• Increase the X maximum.

• Increase the Y maximum.

What is the first point of intersection for the parabola and line in the second example?

• (3,-6)

• (0,1)

• (2,5)

• (4,17)

What is the second point of intersection for the parabola and line in the second example?

• (4,17)

• (2,5)

• (3,-6)

• (0,1)

What should you do if the calculator can only find one point of intersection at a time?

• Press the reset button.

• Use a different calculator.

• Find each point separately.

• Re-enter the equations.

What is the purpose of pressing '2nd TRACE, OPTION 5' on the graphing calculator?

• To clear the graph.

• To adjust the window settings.

• To find the point of intersection.

• To enter a new equation.