Transformations of Graphs in Functions

Mr. Tarrou explains graphing radical functions using transformations, focusing on square and cube root functions. He covers vertical and horizontal transformations, including stretches, compressions, and reflections. The video includes examples of graphing these functions and writing equations with transformations, emphasizing the importance of understanding domain and range.

What is the primary purpose of using transformations in graphing radical functions?

• To find the domain and range of a function

• To determine the color of the graph

• To identify the type of function

• To calculate the area under the curve

What happens to a graph when the coefficient of a is greater than 1?

• The graph is shifted horizontally

• The graph is stretched vertically

• The graph is reflected over the y-axis

• The graph is compressed vertically

How does a negative leading coefficient affect the graph of a function?

• It shifts the graph to the right

• It stretches the graph vertically

• It compresses the graph horizontally

• It reflects the graph over the x-axis

What does a plus or minus inside the main math function indicate?

• A change in the function's domain

• A vertical stretch

• A horizontal shift

• A reflection over the y-axis

What is the effect of a coefficient in front of the x inside the math function?

• It reflects the graph over the x-axis

• It causes a vertical stretch

• It results in a horizontal stretch or compression

• It shifts the graph up or down

How does a horizontal compression by a factor of 4 affect the graph?

• It moves the graph closer to the y-axis

• It stretches the graph vertically

• It shifts the graph to the left

• It reflects the graph over the x-axis

What transformation is applied when a graph is shifted left by 4 units?

• A reflection over the y-axis

• A horizontal shift

• A horizontal compression

• A vertical stretch

How do you write the equation of a function that is reflected over the y-axis?

• By adding a negative sign to the coefficient of x

• By stretching the graph vertically

• By adding a negative sign to the entire function

• By shifting the graph up