Question

Given the parent function f(x) = x^3 give the the best description of the graph of y = -(2x)^3


a.
reflected over the x-axis, compressed horizontally by a factor of 2
c.reflected over the x-axis, compressed vertically by a factor of 1/2
b.reflected over the x-axis, compressed vertically by a factor of 2
d. reflected over the x-axis, compressed horizontally by a factor of 1/2

Answer 1

Well the negative definitely flips it over the 'x' axis

Since we now have 2x instead of just 'x'...the value grows twice as big...so the graph will be taller and skinnier than a normal graph...so this would be compressed vertically by a factor of 2

Answer 2

If you've written that correctly, no options are correct. The graph would be stretched vertically by a factor of 8.

Answer 3

y = -2x^3 would be flipped over the x axis, stretched vertically by a factor of 2, but i don't see how you'd accidentally put the brackets in where you did.

Answer 4

stretched vertically by a factor of 2 = compressed horizontally by a factor of 2

Answer 5

I have A as the answer. Is that correct?

Answer 6

I get confused between compressing and stretching.

Answer 7

See my first post:

If you've written that correctly, no options are correct. The graph would be stretched vertically by a factor of 8 (compressed horizontally by a factor of 8)

Answer 8

That is weird! I actually copy and pasted it.