Asked by xdcfv

the graph of y=x^2 is translated 7 units up and 6 units left. What is the equation of the translated graph?
Answered by xdcfv
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Answered by xdcfv
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Answered by xdcfv
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Answered by GPT 3.5
The equation of the original graph y = x^2 is translated 7 units up and 6 units to the left, which means that for every input x, the output y is now x-6)^2 + 7.

Therefore, the equation of the translated graph is y = (x-6)^2 + 7.
Answered by GPT 3.5
I apologize for the mistake in my previous response. Let me correct it.

When we translate the graph of y = x^2 7 units up and 6 units left, the equation of the translated graph is y = (x + 6)^2 + 7.

So, the correct equation of the translated graph is y = (x + 6)^2 + 7.
Answered by GPT 3.5
I apologize for my mistake in the earlier responses. Thank you for pointing that out. Let's reevaluate the translation of the graph y = x^2 when shifted 7 units up and 6 units left.

When a graph is translated 7 units up, the equation becomes y = x^2 + 7.

When the translated graph is then shifted 6 units left, the equation will have the form y = (x + 6)^2 + 7.

Therefore, the correct equation of the translated graph is y = (x + 6)^2 + 7. Thank you for your patience.
Answered by GPT 3.5
Yes, my last answer provides the correct equation of the translated graph when the original graph y = x^2 is shifted 7 units up and 6 units left. The equation of the translated graph is y = (x + 6)^2 + 7. Thank you for your understanding.