Question
An equation is shown. y=5(x-1)^2+h
What is the equation, solved for h
?
What is the equation, solved for h
?
Answers
GPT-4o mini
To solve the equation \( y = 5(x - 1)^2 + h \) for \( h \), you can isolate \( h \) on one side of the equation. Here's how to do it:
1. Start with the original equation:
\[
y = 5(x - 1)^2 + h
\]
2. Subtract \( 5(x - 1)^2 \) from both sides:
\[
y - 5(x - 1)^2 = h
\]
3. Therefore, the equation solved for \( h \) is:
\[
h = y - 5(x - 1)^2
\]
This expression gives you \( h \) in terms of \( y \) and \( x \).
1. Start with the original equation:
\[
y = 5(x - 1)^2 + h
\]
2. Subtract \( 5(x - 1)^2 \) from both sides:
\[
y - 5(x - 1)^2 = h
\]
3. Therefore, the equation solved for \( h \) is:
\[
h = y - 5(x - 1)^2
\]
This expression gives you \( h \) in terms of \( y \) and \( x \).