Question

State the various transformation applied to the base function ........... to obtain a graph of the function ............

Answer 1

\[f(x) = x^{3}]

Answer 2

\[g(x) = 3(x+4)^{3} -5\]

Answer 3

this might help http://www.purplemath.com/modules/fcntrans.htm

Answer 4

Is this clear?

Answer 5

yes!

Answer 6

A. Horizontal shift of 4 units to the left, a vertical stretch by a factor of 3, and a vertical shift downward of 15 units.
B. Horizontal shift of 4 units to the left, a vertical stretch by a factor of 3, and a vertical shift downward of 5 units.
C. Horizontal shift of 12 units to the left, a vertical stretch by a factor of 3, and a vertical shift downward of 5 units.
D. Horizontal shift of 4 units to the right, a vertical stretch by a factor of 3, and a vertical shift downward of 5 units.

Answer 7

Please note that if I apply these traslations:
\[\begin{gathered}
Y = y + 5 \hfill \\
X = x + 4 \hfill \\
\end{gathered} \]
where y=g(x), then I can write:
\[Y = 3{X^3}\]

Answer 8

so I start from the function g(x), and I perform the above traslation, and finally I get the function f(x)

Answer 9

umm so its not C.

Answer 10

So I"m thinking B?

Answer 11

Yes! I think B