Learning to Graph a Piecewise Function With Transformations

The video tutorial covers graphing quadratic functions, focusing on transformations such as shifts and reflections. It explains how to adjust graphs for specific conditions, like when values are greater than a certain point. The tutorial also discusses piecewise functions and how to apply transformations to them.

What is the initial step in graphing a quadratic function?

• Calculate the y-intercept

• Identify transformations

• Determine the axis of symmetry

• Identify the vertex

When rewriting an equation to understand transformations, what should you do if there is a negative sign inside?

• Factor it out

• Add it to the constant term

• Ignore it

• Multiply it by the coefficient

How does a negative sign inside the function affect the graph?

• Shifts it down

• Reflects it across the y-axis

• Reflects it across the x-axis

• Shifts it up

What should you do when the graph is only valid for values greater than a certain number?

• Draw a closed circle at that point

• Draw an open circle at that point

• Ignore the condition

• Extend the graph beyond that point

What is the purpose of using piecewise functions in graphing?

• To make the graph look more complex

• To handle different conditions in different intervals

• To avoid using transformations

• To simplify calculations