Transformations of Quadratic and Absolute Value Functions

This video tutorial covers transformations of parent functions, focusing on absolute value and quadratic transformations. It explains the roles of variables a, b, h, and k in these transformations, providing examples and practice problems. The video also distinguishes between quadratic and absolute value functions, highlighting their unique characteristics and transformation rules.

What is the primary focus of the video tutorial?

• Trigonometric functions

• Logarithmic functions

• Transformations of parent functions

• Linear equations

Which variable causes a vertical stretch or compression?

• h

• a

• k

• b

What does the variable 'h' do to the graph?

• Compresses it horizontally

• Reflects it over the x-axis

• Shifts it left or right

• Shifts it up or down

If 'a' is negative, what additional transformation occurs?

• Horizontal stretch

• Vertical compression

• Reflection over the x-axis

• Horizontal compression

In the example where a = -2, what is the effect on the graph?

• Vertical stretch and reflection over the x-axis

• Horizontal compression and shift down

• Horizontal stretch and reflection over the y-axis

• Vertical compression and shift up

What is the shape of a quadratic function's graph?

• Circle

• Parabola

• Line

• Ellipse

How does a positive 'k' value affect the graph of a quadratic function?

• Shifts it down

• Shifts it left

• Shifts it up

• Shifts it right

What is the reciprocal of b if b = 3?

• 1/2

• 2

• 3

• 1/3

What is the shape of the graph of an absolute value function?

• Line

• V-shape

• Circle

• U-shape

If the absolute value function has a vertical stretch of 4, what is the value of 'a'?

• 2

• 4

• 1/4

• 1