Question

An equation is shown.
y=3(x-2)^2+h
What is the equation, solved for h
?

Answer 1

To solve the equation \( y = 3(x - 2)^2 + h \) for \( h \), we can isolate \( h \) on one side of the equation. Here are the steps:

1. Start with the original equation:
\[
y = 3(x - 2)^2 + h
\]

2. Subtract \( 3(x - 2)^2 \) from both sides:
\[
y - 3(x - 2)^2 = h
\]

3. Rearrange the equation to isolate \( h \):
\[
h = y - 3(x - 2)^2
\]

So, the equation solved for \( h \) is:
\[
h = y - 3(x - 2)^2
\]