Transformations of Parent Functions

Front

Which equation below is a quadratic function translated up 5 units? Options: y = x² + 5, y = (x + 5)², y = 5x², y = -x² - 5

Back

y = x² + 5

Front

Which equation below is a quadratic function translated left 4 units? Options: y = x² + 4, y = (x + 4)², y = (x - 4)², y = 4x²

Back

y = (x + 4)²

Front

Which equation is a quadratic function reflected over the x-axis and shifted up 2? Options: y = x² + 2, y = -x² + 2, y = x² - 2, y = -(x + 2)²

Back

y = -x² + 2

Front

Describe the transformation: left 2 up 5, right 2 up 5, left 2 down 5, right 2 down 5

Back

right 2 up 5

Front

Which equation is an absolute value graph shifted right 5 units? Options: y = |x - 5|, y = |x + 5|, y = |x| + 5, y = -5|x|

Back

y = |x - 5|

Front

How is the function y = -2|x| transformed from y = |x|?

Back

Stretched vertically and reflected over x-axis

Front

Back

y = -|x + 2| - 1

Front

Describe the transformation from the parent graph.

Back

Reflect over x, right 3, down 4

Front

Match the equation with the graph: y = (x - 2)² + 4, y = -(x - 4)² + 2, y = -(x - 2)² + 4, y = -(x + 2)² + 4

Back

y = -(x - 2)² + 4

Front

What shifts have occurred? Options: left 1, up 5, left 1, down 5, right 1, down 5, right 1, up 5

Back

right 1, up 5