Question

Which of following is a key property of the absolute-value parent function?

 

A.) It has a slope of 1 on the right half.

B.) It is in quadrants III and IV.

C.) It is U-shaped.

D.) Its vertex is not at the origin.

Answer 1

Absolute value parent function is y = | x |

The sign is positive so the graph looks like up ward V.

Find the vertex of the graph  y =  | x |

x = 0

For  x = 0 , y = |0|

y = 0

The vertex of the graph is ( 0,0).

To graph the equation, we need some more points to make more accurate graph.

x	y = |x|	(x, y )
-3	y = |-3| = 3	(- 3, 3)
-2	y = |-2| = 2	(-2, 2)
-1	y = |-1| = 1	(-1,1)
1	y = |1| =1	(1, 1)
2	y = |2| = 2	(2, 2)
3	y = |3| = 3	(3,  3)

Graph

1.  Draw a coordinate plane.

2.  Plot the vertex , points and connect these points.

Observe the graph it is in first and second quadrants.

It has a slope of 1 on the right half and has slope of -1 on the left half.

Option A is correct .

Answer 2

I don't know what it is can someone help me