8 Transformations You MUST KNOW to graph a quadratic

This video tutorial covers the essential transformations needed to graph a quadratic function. It begins with an introduction to quadratic graphing and the importance of understanding the parabola and axis of symmetry. The tutorial explains how to use a table of values for graphing and explores various transformations, including shifts, reflections, and scalar multiplication effects on the graph's shape. The video concludes with a discussion on horizontal reflection, emphasizing the importance of these transformations in understanding quadratic functions.

What are the top transformations needed to graph a quadratic?

Explain the significance of the vertex in a quadratic graph.

How does the axis of symmetry help in graphing a quadratic?

Describe the effect of a negative 'a' value on the graph of a quadratic.

What happens to the graph when a number is added outside the function?

How does adding or subtracting inside the function affect the graph?

What is the impact of multiplying the quadratic by a scalar greater than one?

Explain the difference between vertical stretching and vertical compression of a quadratic graph.

What occurs when a negative value is multiplied inside the function?

How does the graph of a quadratic remain unchanged when reflected about the Y-axis?