Which Function is the result of translating
F(x) = x² - 4x +3 with a vertical-Stretch by a
Factor of a and a reflection across the
y-axis?
A, y=-2x² - 8x +6
B.y = 2x² -8x + 6
C, y = 2X² + 8x+6
D, y=2X² +4x+6.

Respuesta :

Answer:

  C.  y = 2x² +8x +6

Step-by-step explanation:

Reflecting f(x) across the y-axis changes the sign of x, so the new function is ...

  f(-x)

Vertical scaling by a factor of "a" multiplies the function value by "a", so the new function is ...

  a·f(x)

Doing both gives you ...

 y = a·f(-x)

 y = ax² +4ax +3a

None of the answer choices look like this. However, they match this if a=2:

  y = 2x² +8x +6

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