Understanding Transformations of the Square Root Function

The video tutorial explains how to determine the equation of a transformed square root function. It covers the reflection across the x-axis, translation by analyzing corresponding points, and the absence of vertical stretch. The function is shifted right by one unit and up by two units. The tutorial demonstrates how to verify the equation using a graphing calculator, ensuring it matches the given function and contains specific points.

What is the first transformation applied to the blue square root function?

• Vertical stretch

• Reflection across the x-axis

• Horizontal compression

• Reflection across the y-axis

Which point on the basic square root function corresponds to the point (1,2) on the transformed function?

• (0,0)

• (4,2)

• (2,1)

• (3,3)

How many units is the blue function shifted to the right?

• Four units

• Two units

• Three units

• One unit

What is the final equation of the blue square root function?

• g(x) = √(x + 1) + 2

• g(x) = -√(x + 1) + 2

• g(x) = √(x - 1) - 2

• g(x) = -√(x - 1) + 2

What does the negative sign in the equation of the blue function represent?

• Shift up two units

• Reflection across the x-axis

• Vertical stretch

• Shift right one unit

Which tool is used to verify the equation of the blue function?

• Compass

• Graphing calculator

• Protractor

• Ruler

What should be the x max value set in the graphing calculator window?

• 5

• 3

• 7

• 11

What is the y max value set in the graphing calculator window?

• 2

• 5

• 4

• 3

Which two points are verified on the graph to confirm the equation?

• (3,4) and (7,2)

• (1,2) and (5,0)

• (0,0) and (4,2)

• (2,3) and (6,1)

What is the purpose of pressing 'second graph' on the calculator?

• To verify specific points on the function

• To reset the calculator

• To change the function equation

• To adjust the window settings