Exploring Transformations of Parent Functions

The video tutorial by A Plus Tutor covers transformations of parent functions, including moving functions horizontally and vertically, reflecting them over axes, and stretching or shrinking them. Examples are provided using a parabola and other parent functions, demonstrating how to apply these transformations. The tutorial also guides viewers on identifying parent functions and drawing transformed functions. The video concludes with contact information for further engagement.

What happens to a function when you move it to the right?

• You subtract the value from y.

• You add the value to y.

• You subtract the value from x.

• You add the value to x.

How do you move a function up?

• Subtract a value from the function.

• Add a value to x.

• Add a value to the function.

• Subtract a value from x.

What is the result of multiplying a function by -1?

• It stretches vertically.

• It reflects over the x-axis.

• It reflects over the y-axis.

• It compresses horizontally.

What does multiplying the x-value by -1 do to the function?

• Reflects it over the y-axis.

• Stretches it vertically.

• Reflects it over the x-axis.

• Compresses it horizontally.

What happens when you multiply a function by a value greater than 1?

• It reflects over the y-axis.

• It reflects over the x-axis.

• It stretches vertically.

• It compresses horizontally.

What is the new function when f(x) = x^2 is moved two units to the right?

• f(x) = (x + 2)^2

• f(x) = x^2 - 2

• f(x) = (x - 2)^2

• f(x) = x^2 + 2

What is the parent function of an upside-down V shape?

• f(x) = x^2

• f(x) = |x|

• f(x) = x^3

• f(x) = 1/x

How is the function f(x) = x^3 transformed if it is moved down one unit?

• f(x) = (x + 1)^3

• f(x) = (x - 1)^3

• f(x) = x^3 - 1

• f(x) = x^3 + 1

What is the transformed function of f(x) = 1/x if it is moved right one unit and up two units?

• f(x) = 1/(x - 1) + 2

• f(x) = 1/(x + 1) + 2

• f(x) = 1/(x - 1) - 2

• f(x) = 1/(x + 1) - 2

What does the two-thirds in front of the absolute value function do?

• Moves the function left.

• Shrinks the function.

• Reflects the function over the x-axis.

• Stretches the function vertically.