Which absolute value function defines this graph?

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Which absolute value function defines this graph?




Step-by-step explanation:

We have been given an image of an absolute function. We are asked to find the formula for our given absolute function.

The formula of parent absolute function is with vertex at (0,0)

We can see that the vertex of our given function is at . This means that our function is shifted to left by 2 units. We can represent this information as:

We can also see that our graph is reflected across x-axis, so after reflection our function would be

We can see that our graph is shifted upwards by 3 units, so graph after shifting would be .

Our graph is stretched vertically by a scale factor of 4, so after stretching our function would be .

Therefore, option A is the correct choice.

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READ MORE  Energy in most ecosystems must flow through autotrophs because ______. a. only autotrophs can convert solar energy into chemical energy b. autotrophs are simpler organisms than heterotrophs c. heterotrophs only generate a small fraction of their energy from photosynthesis. d. all of the above Please select the best answer from the choices provided

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