Transforming Parent Functions with Vertex Form

The video tutorial covers graph transformations, focusing on linear, absolute value, and quadratic functions. It explains how to plot functions using tables and points, introduces vertex form, and demonstrates transformations with examples. The tutorial emphasizes understanding transformations to simplify graphing and provides strategies for identifying changes in graphs.

What is the simplest form of a linear function?

• y = |x|

• y = x^2

• y = 2x + 3

• y = x

How does an absolute value function typically appear on a graph?

• As a U shape

• As a circle

• As a V shape

• As a straight line

What is the shape of a quadratic function on a graph?

• A V shape

• A U shape

• A circle

• A straight line

What is the slope in the equation y = 3x + 2?

• 2

• 1

• 3

• 0

What does the 'B' represent in the slope-intercept form y = mx + b?

• The x-intercept

• The slope

• The y-intercept

• The vertex

What does a negative 'a' value indicate in vertex form?

• The graph shifts right

• The graph shifts left

• The graph opens upwards

• The graph opens downwards

If 'a' is greater than 1 in vertex form, what happens to the graph?

• It gets wider

• It gets narrower

• It shifts up

• It shifts down

In vertex form, what does 'h' represent?

• Vertical shift

• Horizontal shift

• Stretch factor

• Compression factor

What is the line of symmetry for the function y = |x - 4|?

• y = 4

• x = -4

• y = -4

• x = 4

How would you write the equation of a quadratic function that is shifted right 3 units, down 5 units, and stretched by a factor of 4?

• y = 4(x - 3)^2 + 5

• y = 4(x + 3)^2 + 5

• y = 4(x - 3)^2 - 5

• y = 4(x + 3)^2 - 5