Exploring Transformations of Parent Functions

The video tutorial explains how to identify parent functions and the transformations applied to them. It covers linear, quadratic, cubic, square root, and absolute value functions. For each function type, the video demonstrates how to recognize transformations such as vertical stretches, shrinks, reflections, and shifts. The tutorial emphasizes understanding the impact of coefficients and constants on the graph's shape and position.

Which of the following is a characteristic of a quadratic function?

• Exponent of 3

• Exponent of 2

• Square root symbol

• No exponent

What does a coefficient greater than 1 in front of a quadratic function indicate?

• Vertical shrink

• Horizontal stretch

• Vertical stretch

• Horizontal shrink

If a quadratic function has a term '-7' inside the parentheses, what transformation occurs?

• Shift up 7 units

• Shift down 7 units

• Shift right 7 units

• Shift left 7 units

What is the parent function of a linear equation?

• sqrt(x)

• x

• x^3

• x^2

What does a negative sign in front of a linear function indicate?

• Vertical stretch

• Vertical shrink

• Reflection over the y-axis

• Reflection over the x-axis

What transformation occurs when a linear function has a '+5' at the end?

• Shift left 5 units

• Shift right 5 units

• Shift up 5 units

• Shift down 5 units

What is the parent function of a function with a square root symbol?

• Cubic

• Linear

• Quadratic

• Square root

What does a coefficient less than 1 in front of a square root function indicate?

• Horizontal shrink

• Vertical stretch

• Vertical shrink

• Horizontal stretch

What transformation occurs when an absolute value function has a '-1' inside the absolute value?

• Shift down 1 unit

• Shift right 1 unit

• Shift left 1 unit

• Shift up 1 unit

What is the parent function of a function with an exponent of 3?

• Square root

• Quadratic

• Cubic

• Linear