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Which of the following correctly identifies the transformation of j(x)=(15)x−12

from its parent function?(1 point)
Responses

horizontal shift right 12 units
horizontal shift right 12 units

vertical shift up 12 units
vertical shift up 12 units

vertical shift down 12 units
vertical shift down 12 units

horizontal shift left 12 units
horizontal shift left 12 units

1 answer

To identify the transformation of the function \( j(x) = 15x - 12 \) from its parent function \( f(x) = x \), we can analyze the equation.

  1. The term \( 15x \) indicates a vertical stretch by a factor of 15.
  2. The \( -12 \) at the end indicates a vertical shift downwards by 12 units.

Thus, the correct transformation is a vertical shift down 12 units.

Therefore, the answer is:

vertical shift down 12 units.