square root transformations

Front

What is a square root transformation?

Back

A square root transformation is a mathematical operation that involves taking the square root of a variable, often used to stabilize variance and make data more normally distributed.

Front

What is the parent function of a square root function?

Back

Front

How does a vertical stretch affect the graph of a square root function?

Back

A vertical stretch multiplies the output of the function by a factor greater than 1, making the graph steeper.

Front

What does it mean to reflect a function over the x-axis?

Back

Reflecting a function over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

What is the effect of shifting a function to the right?

Back

Shifting a function to the right means adding a positive value to the x-variable in the function's equation, which moves the graph horizontally.

Front

What is the effect of shifting a function down?

Back

Shifting a function down means subtracting a value from the function's output, which moves the graph vertically downward.

Front

How do you write the equation of a square root function that is shifted right 5 and down 2?

Back

Front

Back

This function is reflected over the x-axis and shifted up 3 units.

Front

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

Back

A negative sign indicates that the graph is reflected over the x-axis.

Front

How do you determine the transformations of a square root function from its equation?

Back

Identify shifts (horizontal and vertical), reflections, and stretches/compressions based on the coefficients and constants in the equation.