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.

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