# transformed equation

• Jul 13th 2009, 01:51 PM
william
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?
• Jul 13th 2009, 02:06 PM
skeeter
• Jul 13th 2009, 02:22 PM
william
Quote:

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
$
• Jul 13th 2009, 02:33 PM
skeeter
Quote:

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

$f(x) = \frac{1}{2}(x-4)^3 + 5$