Transforming Parent Functions: Quadratic, Exponential, and More

The video tutorial covers transformations of functions, including vertical and horizontal shifts, reflections, and the distinction between rigid and non-rigid transformations. It explains how to apply these transformations to parent functions and provides examples using absolute value and quadratic functions. The tutorial also includes a walkthrough of Delta Math assignments, demonstrating how to identify and apply transformations to various functions.

What happens to the graph of a function when you add a positive number outside the parentheses?

• It shifts downward.

• It shifts to the right.

• It shifts to the left.

• It shifts upward.

If you subtract a positive number from the x inside the parentheses, which direction does the graph shift?

• To the left

• To the right

• Upward

• Downward

How do you write the equation of an absolute value function that has been shifted 5 units up?

• y = |x| - 5

• y = |x + 5|

• y = |x| + 5

• y = |x - 5|

What is the equation of an absolute value function shifted 3 units to the right?

• y = |x + 3|

• y = |x - 3|

• y = |x| - 3

• y = |x| + 3

What transformation occurs when a negative sign is placed in front of the function?

• Reflection across the x-axis

• Reflection across the y-axis

• Vertical shift

• Horizontal shift

How do you reflect a function across the y-axis?

• Place a negative sign inside with the x

• Place a negative sign in front of the function

• Add a positive number outside the parentheses

• Subtract a positive number from the x

What is a rigid transformation?

• A transformation that changes the shape of the graph

• A transformation that does not change the shape of the graph

• A transformation that only shifts the graph vertically

• A transformation that only shifts the graph horizontally

What happens to the graph of y = x^2 when it is multiplied by 2?

• It shifts upward

• It becomes wider

• It shifts downward

• It becomes narrower

In the Delta Math example, what does a negative sign in front of the function indicate?

• A reflection across the y-axis

• A vertical shift

• A reflection across the x-axis

• A horizontal shift

How do you shift a graph 5 units to the left and 4 units up?

• Add 5 inside the parentheses and add 4 outside

• Subtract 5 inside the parentheses and add 4 outside

• Add 5 inside the parentheses and subtract 4 outside

• Subtract 5 inside the parentheses and subtract 4 outside