Question

50 POINTS
Please keep as simple as possible
Write the equation for after being translated to the f(x) = x^3 left 6 units and
up 4 units.
Will mark brainliest.

Answer 1

Answer:

$F(x)=(x+6)^{3} +4$

for simplicity images of step-wise transforming graph is attached.

Step-by-step explanation:

equation of the function is $y=x^{3}$

First move the graph towards left and then up or first move origin towards right and then down.

• To move origin 6 units towards right replace $x$ with $x+6$.
• To move origin down by 4 units replace $y$ with $y-4$.

The transformed equation after replacement of all variables is:

$y-4=(x+6)^{3}$

$y=(x+6)^{3} +4$

Therefore the new equation is $F(x)=(x+6)^{3} +4$