Question

Which of the following is a key property of the absolute value parent function? A. It is in quadrants III and IV B. It is U shaped C. It’s vertex is at the origin. D. It has a slope of 1 on the left side

Answer 1

the answer is D its has a slope of 1

Answer 2

The key property of the absolute value parent function is:

C. It’s vertex is at the origin.

Explanation:

The absolute value parent function is given by:

`f(x)=|x|`

• The graph of such a function is a V-shaped graph such that the vertex of the graph is located at origin i.e. (0,0) and the function takes non-negative values for all the real numbers.

i.e. the graph of the function lie in the first and second quadrant.

• Also, to the left side of the y-axis the graph is decreasing continuously i.e. the graph has a negative slope.