Locator Points and Graph Transformations

The video tutorial covers graphing techniques for absolute value, parabolas, and square root functions. It explains how to identify parent graphs, find locator points, and apply dilations. The tutorial also demonstrates how to write equations from graphs using given points.

What is the first step in graphing a function according to the introduction?

• Find the locator point

• Understand the parent graph

• Identify the dilation factor

• Plot the points

What is the parent graph for the function discussed in the second section?

• Exponential

• Absolute Value

• Quadratic

• Linear

What is the locator point for the absolute value function in the example?

• (3,1)

• (0,0)

• (2,2)

• (1,3)

How does a compression affect the graph of an absolute value function?

• It stretches the graph horizontally

• It stretches the graph vertically

• It compresses the graph horizontally

• It compresses the graph vertically

What is the parent graph for a parabola?

• y = x^2

• y = |x|

• y = √x

• y = x

What effect does a dilation factor greater than 1 have on a parabola?

• It compresses the graph

• It stretches the graph

• It shifts the graph

• It reflects the graph

What is the locator point for the square root function in the example?

• (1,2)

• (3,0)

• (2,1)

• (0,0)

How does a dilation factor of 3 affect the square root function?

• It compresses the graph

• It shifts the graph

• It reflects the graph

• It stretches the graph

What is the first step in writing an equation from a graph?

• Choose a point on the graph

• Identify the locator point

• Find the dilation factor

• Determine the parent function