Question

Identify a transformation of the function ......... by observing the equation of the function .....................

Answer 1

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

Answer 2

\[g(x)=\sqrt[3]{x} + 56\]

Answer 3

So that the first one and the second equation!

Answer 4

A. A horizontal shift 56 units to the right.
B. A vertical shift 56 units downward.
C. A horizontal shift 56 units to the left.
D. A vertical shift 56 units upward.

Answer 5

@iGreen.

Answer 6

@MARC_

Answer 7

@Michele_Laino

Answer 8

Hi!

Answer 9

Hi!

Answer 10

Is this one clear?

Answer 11

I think if I start from g(x), I have to traslate the graph of g(x) downward of 56 units in order to get the graph of f(x)

Answer 12

So basically your thinking its B because you have to shift it downwrds right?

Answer 13

since I can write:
\[y - 56 = \sqrt[3]{x}\]
Now I perform this traslation:
\[\begin{gathered}
Y = y - 56 \hfill \\
X = x \hfill \\
\end{gathered} \]
and I get:
\[Y = \sqrt[3]{X}\]
which is the equation of f(x)

Answer 14

So you are right then its B

Answer 15

yes!

Answer 16

because its the only one thats downward

Answer 17

cool

Answer 18

please note that the origin of the new coordinate system, namely the system XY, is located at
x=0, and y= 56

Answer 19

Please note that your answer is D.

Answer 20

ok no worry

Answer 21

thanks!

Answer 22

thanks for telling me