parent graph transformations

Front

What is a parent graph?

Back

A parent graph is the simplest form of a function, which serves as a base for transformations. Examples include y = x^2 for quadratic functions and y = |x| for absolute value functions.

Front

What does it mean to compress a graph vertically?

Back

To compress a graph vertically means to multiply the function by a factor between 0 and 1, which makes the graph 'squish' closer to the x-axis.

Front

What does it mean to stretch a graph vertically?

Back

To stretch a graph vertically means to multiply the function by a factor greater than 1, which makes the graph 'stretch' away from the x-axis.

Front

What is a horizontal shift in graph transformations?

Back

A horizontal shift occurs when the graph moves left or right along the x-axis, typically represented by adding or subtracting a value from the x variable in the function.

Front

What is a vertical shift in graph transformations?

Back

A vertical shift occurs when the graph moves up or down along the y-axis, typically represented by adding or subtracting a value from the entire function.

Front

How does the equation y = (x - 2)^2 + 4 transform the parent graph y = x^2?

Back

This equation shifts the graph of y = x^2 right by 2 units and up by 4 units.

Front

What is the effect of a negative sign in front of a quadratic function?

Back

A negative sign in front of a quadratic function reflects the graph across the x-axis.

Front

What type of function is represented by the equation y = |x|?

Back

The equation y = |x| represents an absolute value function, which forms a V-shape graph.

Tags

CCSS.HSF-IF.C.7D

Front

What transformation does the equation g(x) = x^2 - 3 represent?

Back

The equation g(x) = x^2 - 3 represents a vertical shift downward by 3 units from the parent graph y = x^2.

Front

What does the term 'stretch by 1/2' mean in graph transformations?

Back

'Stretch by 1/2' means to multiply the function by 1/2, which compresses the graph vertically.