Maximum and Minimum Points

The video tutorial explains how to identify maximum and minimum points in quadratic graphs, also known as turning points. It covers key characteristics such as roots, Y-intercept, and symmetry. The tutorial demonstrates methods to find these points by evaluating roots and substituting into equations. It also introduces the completing the square method for finding turning points, including solving complex quadratic equations.

What is the turning point of a positive quadratic graph called?

• Intercept point

• Inflection point

• Minimum point

• Maximum point

Which of the following is a key characteristic of a quadratic graph?

• Roots

• Frequency

• Slope

• Amplitude

What is the y-intercept of the quadratic equation y = x^2 - 2x - 3?

• -3

• 0

• 2

• 3

How can you find the midpoint between two roots of a quadratic equation?

• Subtract the roots and divide by two

• Multiply the roots and divide by two

• Add the roots and divide by two

• Add the roots and multiply by two

What is the purpose of completing the square in a quadratic equation?

• To calculate the roots

• To determine the y-intercept

• To find the slope

• To find the maximum or minimum point

In the equation y = (x - 5)^2 - 21, what is the minimum point?

• (5, 21)

• (5, -21)

• (-5, -21)

• (-5, 21)

When completing the square, what do you do with the B value?

• Double it

• Square it

• Half it

• Subtract it

What is the maximum point of the quadratic y = -x^2 + 5x - 4?

• (-2.5, -2.25)

• (2.5, 2.25)

• (2.5, -2.25)

• (-2.5, 2.25)

How do you handle a negative coefficient when completing the square?

• Add it to the equation

• Ignore it

• Factor it out

• Multiply it by the square

What is the result of completing the square for y = 5x^2 - 4x - 2?

• (0.4, -2.8)

• (0.4, 2.8)

• (-0.4, -2.8)

• (-0.4, 2.8)