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Lilit [14]
3 years ago
9

Which of the following is the graph of f(x) = -0.5|x+3| -2?

Mathematics
2 answers:
Tcecarenko [31]3 years ago
7 0

Answer:

The last graph

Step-by-step explanation:

We transform functions in the following ways:

  • multiplying the function by a number to stretch or shrink it
  • multiplying by a negative to flip the orientation of the function
  • adding/subtracting a value to the input x to shift it horizontally
  • adding/subtracting a value to the output (or outside the function operation) to shift it vertically or horizontally.

Looking at the equation we can see f(x)=-0.5\left|x+3\right|-2

  • Vertically shrunk by 0.5
  • Negative leading coefficient to flip the graph's orientation
  • Horizontal shift of the vertex of 3 units to the left from (0,-2) to (-3,-2)
  • Vertical shift of the vertex of 2 units downward (-3,0) to (-3,-2)

The last graph has vertex (-3,-2) and satisfies the the equation.

emmasim [6.3K]3 years ago
5 0

Answer: first one

Step-by-step explanation:

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