How do you write the equation for the graph obtained when the parent graph is y=x^3 and it is translated 4 unites left and 7 units down?

1 Answer
Nov 29, 2016

The equation of the transformed graph would be: y+7 = (x+4)^3

Explanation:

Consider the parent graph y=x^3

The first transforamtion is 4 units left -> replace x with (x+4)

The second transformation is 7 unit down -> replace y with (y+7)

Hence: The equation of the transformed graph would be: y+7 = (x+4)^3

The graph of the transformed y is shown below:

graph{(x+4)^3-7 [-25.66, 25.66, -12.83, 12.82]}