# Function Families and Their Connections Including Vertical Shift of an Absolute Value Function

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One of the strongest tools an algebra learner develops is the ability to quickly and accurately graph almost any given function. Often doing this quickly and accurately requires rigid transformations to a parent function, demonstrated in this presentation by applying vertical shifts to the absolute value function. Careful walkthroughs of each step with tables of values and multiple examples make this an excellent lesson to teach and also refer back to when manipulating other function families.

CCSS: Designed

##### Instructional Ideas

• Consider linking on the class website for pre-class viewing, in a flipped classroom model, or individual homework help in a traditional setting
• Create a matching game between function notation and drawn graphs for vertically shifted absolute value functions
• Leave with a corresponding problem set from your curriculum as a substitute lesson plan
##### Classroom Considerations

• Video play requires Internet access
• Colored graphs might prove difficult for colorblind and other visually-impaired learners to follow
• Pausing the video presentation periodically will allow for class questions and individual seat work of problems
##### Pros

• Pleasant and easily understood narration
• Very little pre-existing knowledge beyond function notation assumed
• Clear step-by-step work on multiple examples
• Focusing on one function family allows thorough demonstration of the causes of vertical shift
##### Cons

• No printable note slides made available
• No independent practice problems and solutions provided