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 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

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

Back

Stretched vertically and reflected over x-axis

Front

Back

y = -Ix + 2I - 1

Front

What are the transformations to the graph compared to the parent function? Options: Shifted right 2, shifted up 3, and reflected over the y-axis, Shifted left 2, shifted up 3, and reflected over the y-axis, Shifted left 2, shifted up 3, and reflected over the x-axis, Shifted right 2, shifted up 3, and reflected over the x-axis

Back

Shifted right 2, shifted up 3, and reflected over the x-axis

Front

Transformations from f(x) = x² to g(x) = 5x² + 2

Back

Vertical Stretch of 5
Up 2

Front

Describe the parent graph transformation.

Back

compression by 1/2, left 1, down 3

Front

Which transformation will occur if f(x) = x is replaced with f(x) + 2? Options: Translation left 2 units, Translation right 2 units, Vertical translation up by 2 units, Reflection across the x-axis.

Back

Vertical translation up by 2 units.