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Allisa [31]
3 years ago
10

Which absolute value function defines this graph?

Mathematics
2 answers:
bixtya [17]3 years ago
6 0
The first one because it has a negative slope (which is -4) and h is always the opposite while k stays the same. By the way h is the 2 and k is the 3
Sliva [168]3 years ago
4 0

Answer:

A. f(x)=-4|x+2|+3

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 f(x)=|x| with vertex at (0,0)

We can see that the vertex of our given function is at (-2,3). This means that our function is shifted to left by 2 units. We can represent this information as: f(x)=|x--2|=|x+2|

We can also see that our graph is reflected across x-axis, so after reflection our function would be f(x)=-|x+2|

We can see that our graph is shifted upwards by 3 units, so graph after shifting would be f(x)=-|x+2|+3.

Our graph is stretched vertically by a scale factor of 4, so after stretching our function would be f(x)=-4|x+2|+3.

Therefore, option A is the correct choice.

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