Exploring Quadratic Functions Problem Solving

The video tutorial explains how to graph a quadratic equation using a graphing calculator, find the y-intercept and x-intercepts, and calculate the area of a triangle formed by these points. It provides step-by-step instructions on using the calculator's trace and calculation functions to determine intercepts and demonstrates how to construct and measure the area of the triangle using the base and height formula.

What shape does the graph of a quadratic function form?

• Circle

• Hyperbola

• Parabola

• Straight line

What is the y-intercept of the given quadratic equation?

• (0, -16)

• (14, 0)

• (0, 2)

• (0, 14)

How do you find the x-intercepts on a graphing calculator?

• Use the maximum function

• Estimate from the graph

• Calculate directly using the second trace option

• Use the trace button

What is the purpose of setting a left and right boundary when finding x-intercepts?

• To display the entire graph

• To limit the search area for the calculator

• To make the calculation faster

• To confuse the user

What does the 'zero' option in the calculation menu find?

• The minimum point

• The x-intercepts

• The maximum point

• The y-intercept

What are the coordinates of point A?

• (7, 0)

• (14, 0)

• (1, 0)

• (0, 14)

How far apart are points B and C?

• 1 unit

• 7 units

• 14 units

• 6 units

What is the base of the triangle formed by points A, B, and C?

• 6 units

• 1 unit

• 7 units

• 14 units

What is the area of the triangle formed by points A, B, and C?

• 14 units squared

• 28 units squared

• 7 units squared

• 42 units squared

Which method is used to calculate the area of the triangle?

• Base times height

• One half base times height

• Heron's formula

• Pythagorean theorem