Exploring Square Root Functions and Their Transformations

What is the domain of the square root parent function?

• (-infinity, infinity)

• [0, 1]

• [0, infinity)

• None of the above

What does a negative 'a' value in the transformation of a square root function indicate?

• Horizontal shift

• No change

• Reflection over the x-axis

• Vertical compression

If 'b' is 4, what is the effect on the function?

• No change

• Vertical stretch by 4

• Horizontal compression by 1/4

• Horizontal stretch by 4

What does a 'c' value of -3 indicate in the function transformation?

• Shift right by 3

• Shift left by 3

• Shift up by 3

• Shift down by 3

How does a 'd' value of 2 affect the square root function?

• Shift down by 2

• Shift left by 2

• Shift right by 2

• Shift up by 2

What is the effect of a vertical stretch of 2 on the domain of the function?

• Changes from [0, infinity) to [-2, infinity)

• Remains [0, infinity)

• Changes to all real numbers

• None of the above

If the graph is translated right by 1 and vertically stretched by 3, how does it affect the domain?

• Shifts to [1, infinity)

• None of the above

• Remains [0, infinity)

• Becomes all real numbers

What does a horizontal compression by a factor of 1/3 indicate?

• b value of 3

• d value of 3

• b value of 1/3

• a value of 3

How does a vertical translation down by 5 units affect the range of the function?

• From [0, infinity) to [0, 5]

• From [0, infinity) to [5, infinity)

• From [0, infinity) to [-5, infinity)

• None of the above

What transformation is indicated by a 'c' value of 5?

• Shift left by 5

• Shift down by 5

• Shift right by 5

• Shift up by 5