Square Root Functions

Front

What is the parent function of square root functions?

Back

Front

What transformations occur when a function is reflected over the x-axis?

Back

The output values of the function are negated, resulting in a vertical reflection.

Front

What does a vertical stretch by a factor of 2 do to the graph of a function?

Back

It makes the graph steeper, stretching it away from the x-axis by a factor of 2.

Front

How does shifting a function right 5 units affect its equation?

Back

Front

Back

Front

What does a vertical compression by a factor of 1/3 do to the graph of a function?

Back

It flattens the graph, making it less steep.

Front

What is the effect of shifting a function down 2 units?

Back

Front

Back

It reflects over the x-axis, has a vertical stretch by 3, shifts right 2, and shifts up 1.

Front

Which graph represents the square root parent function?

Back

Graph B represents the square root parent function.

Front

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

Back

It reflects the graph over the x-axis.