RAdical Graphs Review

Front

What is a vertical stretch in graph transformations?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

What does it mean to shift a graph down by 4 units?

Back

Shifting a graph down by 4 units means that every point on the graph is moved 4 units lower on the y-axis.

Front

What is the parent function of the cube root?

Back

The parent function of the cube root is f(x) = ∛x, which represents the cube root of x.

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is f(x) = x², which represents a parabola opening upwards.

Front

How do you identify transformations in a function's equation?

Back

Transformations can be identified by analyzing changes in the function's equation, such as vertical stretches, shifts, and reflections.

Front

What is the general form of a square root function?

Back

The general form of a square root function is f(x) = √(x - h) + k, where (h, k) is the vertex of the graph.

Front

What does the notation f(x) = √(x - 4) - 2 represent?

Back

This notation represents a square root function that has been shifted right by 4 units and down by 2 units.

Front

What does the negative sign in y = -√(x + 1) indicate about the graph?

Back

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

Front

What is the effect of adding a constant to the inside of a square root function?

Back

Adding a constant inside the square root function shifts the graph horizontally.

Front

What is the effect of adding a constant outside of a square root function?

Back

Adding a constant outside the square root function shifts the graph vertically.