Identify transformations and graph a radical function

The video tutorial explains how to read graphs from left to right, identify parent functions, and apply transformations such as reflecting over the x-axis, vertical stretching, and horizontal shifting. It emphasizes understanding these transformations conceptually rather than calculating exact values. The tutorial also provides guidance on sketching graphs and using graphing technology, highlighting the importance of recognizing parent functions and transformations.

What is the first step in analyzing a graph transformation?

• Identify the parent function

• Find the x-intercept

• Determine the horizontal shift

• Calculate the vertical stretch

What does a negative sign outside a function indicate?

• Horizontal shift

• Compression

• Vertical stretch

• Reflection across the X-axis

How does multiplying by a negative number outside the function affect the graph?

• It compresses the graph

• It reflects the graph across the Y-axis

• It stretches the graph vertically

• It shifts the graph upwards

What is the effect of adding a number inside the function?

• Reflection across the X-axis

• Compression

• Vertical stretch

• Horizontal shift

When sketching a graph, what is not necessary to calculate precisely?

• The exact amount of vertical stretch

• The direction of horizontal shift

• The parent function

• The reflection axis