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IceJOKER [234]
3 years ago
6

80 points! Look at the pic attached. I will mark brainliest to the correct answer. Random answers will be reported :) thanks

Mathematics
2 answers:
Virty [35]3 years ago
7 0

Answer: No, it is not commutative. If used a square as an example, centered at (1,1). If a dilation is performed on the square of a scale factor of 3, and the square is translated 5 units downward, then the result would be different than if I switched the order, doing the translation downward first and then performing the dilation centered at (1,1).

I hope this helps! If you need any further clarification, just let me know below. Thanks! Have a good day, and good luck on your assignment. :)

Andrej [43]3 years ago
7 0

Answer:

this helps me :-))

thanks

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See below

Step-by-step explanation:

For the model function f(x)=a|x-h|+k, (h,k) is the vertex, and a is the horizontal growth or shrink factor.

We know that our vertex is (-1.5,0) from our graph, so we'll need to determine the value of a by using one of the points on the graph:

f(x)=a|x-h|+k\\\\f(x)=a|x-(-1.5)|+0\\\\f(x)=a|x+1.5|\\\\f(0)=a|0+1.5|\\\\3=a|1.5|\\\\3=1.5a\\\\2=a

Thus, our equation for the given graph is f(x)=2|x+1.5|.

The domain of a function is the set of all existing real x-values, thus, our domain for the given function is (-\infty,\infty), or all real x-values.

The range of a function is the set of all existing real y-values, thus, our range for the given function is [-1,\infty), or all real y-values starting with y=-1 which is included.

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