Transformations of Absolute Value Functions by Winona Wilson

Graph of Parent Function y = |x|

wrwilson — 2016-01-12 23:14:40 UTC

The parent function for y = |x| has a vertex at the origin, a minimum value of zero for the range (y less than or equal to 0), all real numbers for the domain. The line of symmetry is at x = 0.

As this is the parent function, there were no transformations performed.

2016-01-13 18:56:57 UTC

Change in a: y=-3/4|x| Josh D.

2016-01-13 18:57:17 UTC

y=|x-1| (Kylee Warden)

2016-01-13 18:57:19 UTC

The function for y=|x-1|(green) has a vertex at (1,1) a minimum value of zero for the range (y less than or equal to 0) all real numbers for domain. The line of symmetry is at x=1. The function moved to the left 1 unit.

cristal

2016-01-13 18:58:18 UTC

The function is y=abs(x)-3 has the vertex at (0,-4). The minimum is y=0. The line of symmetry is x=0. The domain is all real numbers. The range is y>= -4. my function moved down four spaces

H:Y=(X+3)

2016-01-13 18:58:22 UTC

The parent function for y = |x+3| has a vertex at the origin (0,-3) a minimum value of zero for the range (y more than or equal to 0), all real numbers for the domain. The line of symmetry is at x = 0.

As this is the parent function, there were no transformations performed.

Change in k: y=|x|-2 By: Jason Cruz

2016-01-13 18:58:29 UTC

The function for y=|x|-2 (Blue) has a vertex at -2, a minimum value of -2 for the range(y greater than or equal to -2), all real numbers for the domain. The line of symmetry is at x= 0.

Compared to it's parent function (Yellow) the Blue function moved down two units.

CHANGE IN K:Y=|X|-5 Carlos Cruz

2016-01-13 18:59:05 UTC

The function, y=|x|-5 has a vertex of at the point (0,-5). The minimum range is Y=-5 which means the range can be any real number higher than -5 or it can be exactly -5.The line of symmetry is at X=0. Comparing the parent function to my given function, my given function shifted down 5 numbers.

y=-2(x)

2016-01-13 18:59:15 UTC

Y=|x+1| Aiden Lang

2016-01-13 18:59:27 UTC

The function for y = |x| has a vertex at the point -1, 0, a minimum value of zero for the range (y less than or equal to 0), all real numbers for the domain. The line of symmetry is at x = -1, 0.

The transformation was that the V moved over.

y=-2(x)

2016-01-13 19:00:28 UTC

Diana

2016-01-13 19:00:45 UTC

The function is y=abs(x-3) has the vertex at (3,0 the minimum is y=0. The line of symmetry is x=4 The domain is all real numbers. the range is y >= 0. my function move four spaces right

y=abs(x+2) By: Hector Teresa

2016-01-13 19:01:45 UTC

The vertex of the equation is (-2,0). The line of symmetry is x=-2. The minimum is -2. The domain is all real numbers. Range is y>=-2. the transformation is a moving of -2 spots from the parent equation

ISAIAH BENNETT

2016-01-13 19:02:33 UTC

The function of y=x has a vertex at the origin a min value of zero for the rang

Mele'ofa Taufa change in a: y= -1/2|x|

2016-01-13 19:02:43 UTC

The function for y = -1/2|x| has a vertex at the origin, a minimum value of zero for the range, all real numbers for the domain. The line of symmetry is at x=0. The transformation was that it moved down and it became wider.

Change in k:y= |x|+5 by: Oracle Richards

2016-01-13 19:02:48 UTC

The function for y= |x|+5 has a vertex at (0,5) , has a minimum at (0,5) as well. The range is y is greater than or equal to 5. The Domain is all real numbers. The line of symmetry is 0. It appears that the function shifted up from from the origin.

Change in a: y= -2/3|x| (Phat Vong)

2016-01-13 19:03:16 UTC

The function for y= -2/3|x| (green) has a vertex at the origin (0,0). The line of symmetry is at x= 0. The domain are all real numbers. The maximum value of zero is y = 0 for the range so the range is less than or equal to (< =) 0.

The transformation of the function flipped upside down and stretched out a little compared to the parent function (red).

Y=3/4(x)

2016-01-13 19:05:45 UTC

Change in: y= 2 * | x | (Sarah Conner)

2016-01-13 20:28:41 UTC

The function is y = 2 * | x | . It has a vertex at the origin. The line of symmetry is x=0 The minimum of the function is (0,0) The domain is all real numbers. The range is y ≥ 0. Just like the parent function. The difference between this and the parent function is that my function is skinnier than the parent function.

y=3|x|

2016-01-13 20:31:25 UTC

The function for y=3|x|. It has vertex at (0,0)

Y=|X-5| Iris

2016-01-13 20:31:30 UTC

Vertex:3 LoS:x=0 Domain:all real numbers Range:y=<0

Y=3/4|X| by Joshua K

2016-01-13 20:36:07 UTC

The function of y=3/4|x| has a vertex at (0,.1), a minimum value of .1.( y is greater than .1) Domain:all real numbers. The transformation of the function and the parent function is the function shifted down. The line of symmetry is x=0

change in a: y=2/3|x| By:Cassidy Gillham

2016-01-13 20:40:34 UTC

The function y=2/3|x|(blue) has a vertex at the origin as well as the parent function (green).The line of symmetry is at x=0. The minimum for both functions is at 0,which means the minimum range is at y=0. The domain is all real numbers. My function is more stretched out than the parent function. It also is not as steep as the parent function. ;)

2016-01-13 20:43:11 UTC

y=|x|=4 Haaben Kidane

2016-01-13 20:44:18 UTC

The function for y=|x|=4 has a vertex 0,4.

The Line of Symmetry is at at 0,0

The Minimum is y=4

The Domain is all real numbers

The Range is y is greater than or equal to 4

The Difference between the parent function and the new function is the new function got smaller.

Taa Moala

2016-01-13 20:46:18 UTC

The Vertex is (0,0). The line of symmetry is when x=0. The minimum is y =0. Domain:d all real numbers. Range: y is greater than 0. The function shifted down

Change in h: Y= |x+5|

2016-01-13 20:51:28 UTC

Vertex: -5, 0

Line of symmetry: x= -5

Minimum/maximum: 0

Domain: all real numbers

Range: y>=-5

Transformation: slided to the left

y = 2|x| Sam

2016-01-13 20:56:08 UTC

the function of y=-2|x| has a vertex at 0 a minimum value of 0 for the range (0) the line of symmetry x=0. all real numbers.the function got thinner.

y=0.5|x| Lucy Roman

2016-01-13 21:02:59 UTC

Purple line= Parent function

Blue line= My function

The function for y =0.5|x| has a vertex at the origin, (0,0)

A minimum value of zero for the range (y is less than or equal to 0), all real numbers for the domain.

The line of symmetry is at x = 0.

The function stretched out.

Y=5/3|x| Venecia ocampo

2016-01-13 21:03:48 UTC

1. (0,0)

2.(0,0)

3.Y=minium Y=0

4.Domain- all real numbers

5.y>=0

6.My gragh got skinnier