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The gray graph is y = x². What are the transformations?

The gray graph is y = x².
What are the transformations?
Vertex shift down 5 units and
The vertex ?
Axis of symmetry?
Domain does not change.
Range shift down 5 units.
(-4, -3) and (-2, -3) are a pair of symmetric points.

Answer

What are the transformations?

  1. Vertically stretched by a factor of 2
  2. Shifted down 5 units

Vertex shift down 5 units and

  1. Vertically stretched by a factor of 2

The vertex ?

  1. (0, -5)

Axis of symmetry?

  1. x = 0

Domain does not change.

  1. All real numbers

Range shift down 5 units.

  1. y ≥ -5

(-4, -3) and (-2, -3) are a pair of symmetric points.

  1. True

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