Question

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

What is the equation of the new graph?

Answer 1

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

Answer 2

`y=x^3+3`

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`