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

+1 vote
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.
asked Oct 3, 2014 in ALGEBRA 2 by anonymous
reshown Oct 3, 2014 by moderator

1 Answer

0 votes

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 .

answered Oct 4, 2014 by david Expert

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