Which of the following is the tabular representation of the square root function y = √x + 1 − 3?

A.

x
y
1
-3
2
-2
5
-1
10
0

Incorrect. Look at the equation and find the starting point (h, k), or substitute the values of x into the equation and see if you get the corresponding y-value.

B.

x
y
-1
-3
0
-2
3
-1
8
0

Correct! You found the correct starting point and correct x- and y-values.

C.

x
y
-1
3
0
4
3
5
8
0

Incorrect. Look at the equation and find the starting point (h, k), or substitute the values of x into the equation and see if you get the corresponding y-value.

D.

x
y
1
3
2
4
5
5
10
6

Incorrect. Look at the equation and find the starting point (h, k), or substitute the values of x into the equation and see if you get the corresponding y-value.

Which square root function is represented by the data in the table below?

X
Y
2
0
3
3
6
6
11
9

A. y = 3 √x-2
Correct! The points in the table satisfy this equation.

B. y = √3x-9
Incorrect. Check the points in the table again and make sure they satisfy the equation.

C. y = 3 √2x-4
Incorrect. Check the points in the table again and make sure they satisfy the equation.

D. y = 6 √3x-6
Incorrect. Check the points in the table again and make sure they satisfy the equation.

Which of the following is another representation of the square root function that is graphed below?

A. The y-values are the square root of the x-values minus 1 and then multiplied by 2.
Incorrect. Look at the starting point of the graph.

B. y = √4x+4
Correct!

C.

X
Y
0
-1
2
0
4
3
6
8

Incorrect. You switched the x- and y-values. Check the points on the graph again.

D. All of the above.
Incorrect. Look at the points on the graph again to determine the correct representation.

What is the x-coordinate of the endpoint of the graph below?

A. x = -4
Incorrect. This number is the y-coordinate of the endpoint of the graph.

B. x = 4
Incorrect. Check the scaling of the x-axis.

C. x = -5
Incorrect. The value of x, -5, is not in the domain of the function.

D. x = 5
Correct!

The parent square root function, f(x) = √x, is translated 5 units to the right and 8 units downward. Which equation best represents the transformed square root function?

A. f(x) = 5√x + 8
Incorrect. A translation results in adding or subtracting values to the independent variable in the parent function, not multiplying.

B. f(x) = √x – 5 – 8
Correct!

C. f(x) = √x + 5 – 8
Incorrect. A translation to the right results in subtracting a number from the independent variable, not adding it.

D. f(x) = 8√x – 5
Incorrect. A translation results in adding or subtracting values to the independent variable in the parent function, not multiplying.