Exploring Square Root Functions and Their Graphs

What shape does the graph of y = x squared form?

• Hyperbola

• Circle

• Parabola

• Ellipse

What is the vertex of the square root function y = sqrt(x)?

• (0, 0)

• (1, 1)

• (2, 4)

• (3, 9)

If 'a' is negative in the square root function, what transformation occurs?

• Reflection over the x-axis

• Vertical stretch

• Horizontal shift

• Vertical compression

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

• Shift right

• Shift down

• Shift left

• Shift up

How does a negative 'a' value affect the graph of a square root function?

• Reflects it over the x-axis

• Shifts it to the right

• Shifts it to the left

• Stretches it vertically

What does the transformation x minus h in a square root function indicate?

• Vertical stretch by h units

• Vertical compression by h units

• Shift left by h units

• Shift right by h units

Identify the transformation: y = sqrt(x + 2) - 3

• Left 2, down 3

• Right 2, up 3

• Right 2, down 3

• Left 2, up 3

What transformation does y = 2sqrt(x - 1) + 4 represent?

• Compression by 2, left 1, down 4

• Stretch by 2, right 1, up 4

• Stretch by 2, left 1, up 4

• Compression by 2, right 1, down 4

What is the domain of y = sqrt(x - 2)?

• x ≥ 0

• x ≥ 2

• x ≤ 2

• x ≤ 0

What is the range of y = -sqrt(x) + 3 after reflecting over the x-axis?

• y ≤ 3

• y ≥ 0

• y ≤ 0

• y ≥ 3