Question

The graph of y = x 3 is translated so that the point (1, 1) is moved to (1, 4).

Answer 1

Answer:

$y=x^3+3$

Step-by-step explanation:

The graph of y = x 3 is translated so that the point (1, 1) is moved to (1, 4).

the point (1, 1) is moved to (1, 4), 1+3=4

So 3 is added with y to get (1,4)

To get the equation of new graph , add 3 with y

$y=x^3$

To add 3 with y, we put +3 at the end of the given equation

the new equation becomes

$y=x^3+3$

Answer 2

If (1,1) is translated to (1,4) the graph is shifted upwards by 3 units.  So a constant of 3 is added to the parent function.

f(x)=x^3  now add 3 to f(x)

g(x)=x^3+3