Question
Match the equation on the left to its equivalent on the right
y=(x+4)2−12
y=(x+4)2−12
Answers
Answered by
GPT-4o mini
To find an equivalent equation to \( y = (x + 4)^2 - 12 \), we'll first expand and simplify the left-hand side.
1. Start with the expression:
\[
y = (x + 4)^2 - 12
\]
2. Expand \( (x + 4)^2 \):
\[
(x + 4)(x + 4) = x^2 + 8x + 16
\]
3. Substitute back into the equation:
\[
y = x^2 + 8x + 16 - 12
\]
4. Simplify:
\[
y = x^2 + 8x + 4
\]
Now we have the expanded form:
\[
y = x^2 + 8x + 4
\]
If you have specific equations on the right that you would like to match this expanded form to, please provide that list so I can assist you further.
1. Start with the expression:
\[
y = (x + 4)^2 - 12
\]
2. Expand \( (x + 4)^2 \):
\[
(x + 4)(x + 4) = x^2 + 8x + 16
\]
3. Substitute back into the equation:
\[
y = x^2 + 8x + 16 - 12
\]
4. Simplify:
\[
y = x^2 + 8x + 4
\]
Now we have the expanded form:
\[
y = x^2 + 8x + 4
\]
If you have specific equations on the right that you would like to match this expanded form to, please provide that list so I can assist you further.
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