Square Root Transformations

Front

What is the parent function of square root transformations?

Back

The parent function is y = √x.

Front

What does a positive coefficient in front of the square root function indicate?

Back

It indicates that the graph opens upwards.

Front

What does a negative coefficient in front of the square root function indicate?

Back

It indicates that the graph opens downwards.

Front

What effect does adding a constant outside the square root have on the graph?

Back

It shifts the graph vertically. Adding shifts it up, while subtracting shifts it down.

Front

What effect does adding a constant inside the square root have on the graph?

Back

It shifts the graph horizontally. Adding shifts it left, while subtracting shifts it right.

Front

What does reflecting the graph over the x-axis do?

Back

It flips the graph upside down.

Front

What does reflecting the graph over the y-axis do?

Back

It flips the graph horizontally.

Front

How do you determine the vertex of a transformed square root function?

Back

The vertex can be found from the equation in the form y = a√(x - h) + k, where (h, k) is the vertex.

Front

What is the transformation of the function y = √(x - 5) + 4 compared to the parent function?

Back

Shifted right 5 units and up 4 units.

Front

What is the transformation of the function y = -√(x + 1) + 4 compared to the parent function?

Back

Shifted left 1 unit, reflected over the x-axis, and shifted up 4 units.