Question

Write a formula for the function obtained when the graph is shifted as described. When typing exponents use the carrot key ^ by pressing SHIFT and 6. For example x squared can be typed as x^2. Do not put spaces between your characters and remember to use parentheses in the appropriate places!f(x)=x^3 is shifted up 3 unit and to the left 7 units.The new equations f(x)=Answer

Answer 1

Given the function

$f(x)=x^3$

We are asked to shift the function up 3 units and to the left 7 units.

Explanation

1) To shift upwards, we will add outside of the argument

2) To shift to the left, we will add inside of the argument

Therefore;

$x^3\rightarrow(x+7)^3+3$

Answer:

$f(x)=(x+7)^3+3$