Exploring Shifts in Absolute Value Graphs

What is a parent function in the context of graphing?

• A function that is always linear

• A basic function that can be transformed

• A function that has no variables

• A function that is always quadratic

What shape do all absolute value graphs have?

• A circle

• A straight line

• A V-shape

• A U-shape

How do you shift an absolute value graph up?

• Subtract a value outside the absolute value

• Add a value outside the absolute value

• Subtract a value inside the absolute value

• Add a value inside the absolute value

If you have a negative value inside the absolute value, which direction do you shift the graph?

• Down

• Up

• Right

• Left

What happens to the graph if the absolute value is multiplied by a number greater than one?

• It shifts down

• It becomes wider

• It becomes skinnier

• It shifts up

What is the effect of multiplying the absolute value by a fraction between 0 and 1?

• The graph shifts to the right

• The graph shifts to the left

• The graph becomes skinnier

• The graph becomes wider

What happens to the graph if the value of 'a' is negative?

• The graph becomes wider

• The graph shifts down

• The graph turns upside down

• The graph shifts up

Which of the following is true about the absolute value of a number?

• It can be negative

• It can be any real number

• It is always greater than or equal to zero

• It is always less than zero

In which other types of graphs do the shifting rules apply?

• In exponential graphs

• In parabolas and quadratics

• Only in linear graphs

• Only in absolute value graphs

Why is it important to memorize the rules for shifts and dilations?

• They are only used in algebra

• They appear frequently in various types of graphs

• They are not useful in advanced math

• They only apply to basic math classes