Understanding Graph Transformations

The video tutorial explains how to determine the equation of a transformed graph based on the square root function. It covers the identification of transformations such as vertical compression and horizontal stretch, and how to calculate shift values. The tutorial demonstrates the process of substituting values and solving for the transformation parameter B, ultimately leading to the final equation for the transformed function G of X.

What is the basic function that the blue graph is a transformation of?

• Y = √X

• Y = 1/X

• Y = X^2

• Y = X^3

Tags

CCSS.HSF.BF.B.3

Which transformation is assumed to have occurred to the black graph to form the blue graph?

• Vertical Stretch

• Horizontal Compression

• Horizontal Stretch

• Vertical Compression

If a graph is shifted left by 1 unit, what is the value of C?

• -1

• +3

• 0

• +1

Tags

CCSS.HSF.BF.B.3

What does the value of D represent in the transformation?

• Horizontal Shift

• Vertical Shift

• Rotation

• Reflection

What does a positive value of C indicate about the graph's shift?

• Shifted down

• Shifted right

• Shifted up

• Shifted left

If the graph is shifted down by 3 units, what is the value of D?

• +3

• -3

• -1

• +1

What is the significance of the point (-1,-3) in the transformation?

• It is the new origin of the transformed graph.

• It is the midpoint of the graph.

• It is the point of intersection with the x-axis.

• It is the point of intersection with the y-axis.

What point on the blue graph is used to solve for B?

• (1,1)

• (0,0)

• (-1,-3)

• (4,-2)

Tags

CCSS.6.EE.B.7

What is the value of B after solving the equation?

• 1/2

• 1/3

• 1/5

• 1/4

Tags

CCSS.HSF-IF.C.7B

What is the final form of the equation for G(x)?

• G(x) = √(0.5x - 1) + 3

• G(x) = √(0.2x - 1) + 3

• G(x) = √(0.5x + 1) - 3

• G(x) = √(0.2x + 1) - 3

Tags

CCSS.HSF-IF.C.7B