Learn how to write the equation of a radical function given transformations

The video tutorial covers graph transformations, focusing on shifting graphs 4 units upward and reflecting them over the Y-axis. It explains how to apply these transformations to a function, specifically using a square root function as an example. The tutorial demonstrates the mathematical operations needed, such as multiplying by a negative for reflection and adding a constant for upward shifts, and concludes with graphing the transformed function.

What is the effect of shifting a graph 4 units up?

• The graph moves 4 units to the right.

• The graph moves 4 units downwards.

• The graph moves 4 units to the left.

• The graph moves 4 units upwards.

How do you reflect a graph across the Y-axis?

• Add a positive number inside the function.

• Multiply by a negative inside the function.

• Add a negative sign outside the function.

• Subtract a number outside the function.

What transformation is applied by adding a number outside the function?

• Reflecting across the X-axis.

• Shifting the graph horizontally.

• Rotating the graph.

• Shifting the graph vertically.

What is the resulting function after applying the transformations: reflection across the Y-axis and shifting 4 units up?

• F(x) = -sqrt(x) + 4

• F(x) = sqrt(x) - 4

• F(x) = sqrt(-x) + 4

• F(x) = -sqrt(-x) - 4

What is the next step after finalizing the function with transformations?

• Solve the function algebraically.

• Graph the function.

• Integrate the function.

• Differentiate the function.