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Match the functions with correct transformation.



f(x) = -3x


f(x) = |x-1|+3


f(x) = √(x+3)


1/2x²


f(x) = (x+1)²-3


4|x|

1.
compress by a factor of 1/2

2.
stretch by a factor of 4

3.
shift to the left 3

4.
shift to the left 1

5.
shift up 3

6.
reflection

Respuesta :

MrsStrong

Answer:

f(x) = -3x --->#6

f(x) = |x-1|+3 --->#5

f(x) = √(x+3) --->#3

1/2x² --->#1

f(x) = (x+1)²-3 --->#4

4|x|--->#2

Step-by-step explanation:

Recall for transformations:

  • Adding a number outside the function moves it up
  • Subtracting a number outside the function moves it down
  • Adding inside the function moves it to the left
  • Subtracting inside the function moves it to the right
  • Multiplying to the function by a number less than 1 compresses
  • Multiplying to a function by a number greater than 1 stretched it
  • Multiplying by a negative flips the graph

f(x) = -3x

This is multiplication by a number greater than 1 and a negative so this stretches and flip. This is #6, a reflection.

f(x) = |x-1|+3

Subtraction inside the function shifts it to the right 1 and addition outside shifts it up 3. This is #5.

f(x) = √(x+3)

Addition inside the function shifts it to the left 3. This is #3

1/2x²

Multiplication by 1/2 which is less than 1 compresses it. This is #1.

f(x) = (x+1)²-3

Addition inside the function shifts the function to the left once. This is #4.

4|x|

Multiplying by 4, a number greater than 1, stretches it. This is #2.


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