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Alla [95]
3 years ago
10

I NEED HELP PLEASE, THANKS! :)

Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Answer:  D) reflection over the x-axis, vertical shrink by a factor of 7/8, horizontal shift 3 units to the left, and vertical shift 3 units up.

<u>Step-by-step explanation:</u>

Consider\ f(x)=Ae^{Bx-C}+D\qquad where

  • A = vertical stretch by a factor of A <em>(|A| < 1 is a vertical shrink)</em>
  • -A = reflection across the x-axis
  • B = horizontal shrink by a factor of 1/B
  • C = horizontal shift C units (positive = right, negative = left)
  • D = vertical shift D units (positive = up,, negative = down)

f(x)=e^x\\\\g(x)=-\dfrac{7}{8}e^{x+3}+3

→ A = -(7/8)

   The negative sign represents a reflection across the x-axis.

   (7/8) < 1 so it is a vertical shrink by a factor of (7/8)

→ C = -3       <em>x +3 = x - (-3)</em>

   This is a horizontal shift 3 units to the left.

→ D = +3

   This is a vertical shift 3 units up.

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