Which is the best representation of the function y = x?

A.
Incorrect. This is a constant function. Remember to look for the functions to pass through (0, 0).

B.
Incorrect. This is the U shape which describes the quadratic parent function y = x2.

C.
Correct!

D.
Incorrect. This is the absolute value function.

Which graph below best represents the linear parent function?

A.
Incorrect. This is a constant function. Remember to look for the functions to pass through (0, 0).

B.
Correct! Did you look for points (0, 0), (1, 1), and (2, 2)?

C.
Incorrect. This is linear function that has a negative slope. Remember that the x and y has to be the same values. In this graph the x values are negative and the y values are positive.

D.
Incorrect. This one was tricky! Did you check to see if (1, 1) and (2, 2) was in the graph?

Which graph below represents the parent function of a quadratic function?

A.
Correct! Did you check the points passing through (-2, 4), (-1, 1), (1, 1), and (2, 4)?

B.
Incorrect. This one didn’t contain point (0, 0).

C.
Incorrect. Did you check the points passing through (-2, 4), (-1, 1), (1, 1), and (2, 4)?

D.
Incorrect. This one didn’t contain point (0, 0).

Which of these are characteristics of the parent function of a quadratic equation?

            I. The parent function of a quadratic equation has the vertex at (0, 0).

            II. The parent function of a quadratic equation opens upward.

            III. The parent function of a quadratic equation has the y-axis as its line of symmetry.

A. I and II only
Incorrect. The y-axis is a line of symmetry.

B. I and III only
Incorrect. It definitely doesn’t open downward.

C. II and III only
Incorrect. The vertex is at (0, 0).

D. I, II, and III
Correct!

Which equation is the parent function of the graph represented below?

A.
Incorrect. Remember the || symbol means absolute value written abs (x). You will need to press “Math” and “>” to get the abs( on the graphing calculator.)

B.
Incorrect. This is a linear parent function.

C.
Correct! Did you put it in your calculator?

D.
Incorrect. Using the online graphing utility, you will need to type in sqrt(x).