# Math Help - transformed equation

1. ## transformed equation

the graph of $y=x^3$ is compressed by a factor vertically of $\frac{1}{2},$translated 4 units to the right and 5 units upward, what is the transformed equation?

2. Originally Posted by william
the graph of $y=x^3$ is compressed by a factor vertically of $\frac{1}{2},$translated 4 units to the right and 5 units upward, what is the transformed equation?
is the equation $f(x)=\frac{1}{2}x^3(x-4)+5
$

3. Originally Posted by william
is the equation $f(x)=\frac{1}{2}x^3(x-4)+5
$
$f(x) = \frac{1}{2}(x-4)^3 + 5$