Graphing Quadratic Functions Explained

The video tutorial guides algebra students through using graphing calculators or programs to find the zeros of quadratic equations. It explains the concept of zeros, how to graph equations, and analyze the graphs to determine the number of zeros. The tutorial also covers modeling real-world scenarios using quadratic functions and finding the maximum height of a soccer ball using the axis of symmetry.

What tool are we allowed to use for solving the next set of problems?

• A ruler

• A graphing calculator or program

• A compass

• A protractor

What are we looking for when finding the zeros of a parabola?

• The value of Y when X is zero

• The values of X for which Y is zero

• The vertex of the parabola

• The slope of the parabola

How many zeros can a graph have?

• One or two

• None, one, or two

• Only two

• Only one

What is the zero of the equation Y = x^2 + 10x + 25?

• 5

• 0

• -5

• 10

How many zeros does the equation 3x^2 - 21x + 30 have?

• One

• None

• Two

• Three

What are the zeros of the equation 3x^2 - 21x + 30?

• 0 and 6

• 1 and 4

• 3 and 7

• 2 and 5

What is the result when the equation -12x^2 - 1 is graphed?

• It has three zeros

• It has no zeros

• It has two zeros

• It has one zero

What equation is used to find the axis of symmetry?

• A over 2B

• B over 2A

• C over 2A

• D over 2B

What is the time it takes for the soccer ball to reach its maximum height?

• 1.5 seconds

• 1 second

• 2 seconds

• 2.5 seconds

What is the maximum height reached by the soccer ball?

• 10 feet

• 15 feet

• 18 feet

• 20 feet