Question

Which of the following describes the graph of y = RootIndex 3 StartRoot 8 x minus 64 EndRoot minus 5 compared to the parent cube root function?

stretched by a factor of 2 and translated 64 units right and 5 units down
stretched by a factor of 8 and translated 8 units right and 5 units down
stretched by a factor of 2 and translated 8 units right and 5 units down
stretched by a factor of 8 and translated 64 units right and 5 units down

Answer 1

c

Explanation:

Answer 2

(c) stretched by a factor of 2 and translated 8 units right and 5 units down

Explanation:

The transformed function can be written as ...

y = ∛(8x -64) -5 . . . . . . given

y = ∛(8(x -8)) -5

y = 2∛(x -8) -5

Where f(x) = ∛x, this is of the form ...

y = 2f(x-8) -5

These numbers in these places correspond to ...

• vertical stretch by a factor of 2
• translation 8 units right
• translation 5 units down