Graphing Square Root Functions Quiz

What is the parent function of a square root function?

• f(x) = 1/x

• f(x) = x^3

• f(x) = √x

• f(x) = x^2

Which of the following is a key point on the graph of the parent square root function?

• (2, 4)

• (0, 1)

• (1, 0)

• (4, 2)

What is the domain of the function f(x) = √(x - 2)?

• x > 0

• x ≥ 2

• x ≥ 0

• x ≤ 2

How do you determine the range of a square root function from its graph?

• By calculating the slope

• By finding the maximum x-value

• By identifying the minimum y-value

• By looking at the x-values

What does the 'H' in translations represent?

• Horizontal stretch

• Vertical stretch

• Horizontal shift

• Vertical shift

If a square root function is translated 4 units left and 2 units up, where is the new starting point?

• (4, 2)

• (-4, 2)

• (-4, -2)

• (2, 4)

What effect does a vertical stretch by a factor of 3 have on the y-coordinates of a function?

• They are multiplied by 3

• They remain unchanged

• They are divided by 3

• They are subtracted by 3

How does a negative coefficient affect the direction of a square root function's graph?

• It shifts the graph upwards

• It reflects the graph over the x-axis

• It compresses the graph horizontally

• It stretches the graph vertically

What does a dashed line in the graph of an inequality indicate?

• The inequality is strict

• The inequality is non-strict

• The graph is not continuous

• The function is undefined

When graphing an inequality, what does shading below the graph represent?

• Values not part of the function

• Values equal to the function

• Values less than the function

• Values greater than the function