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Question 2
Suppose the graph of is translated left 3 units, and
up 8 units.
The new graph will have equation

Ask by Edwards Fernandez. in the United States
Mar 28,2025

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Answer

The new graph’s equation is .

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Extra Insights

To translate the graph of left by 3 units, you replace with . So, the equation becomes . Next, to move it up 8 units, you add 8 to the entire equation. Therefore, the new equation is .
Now we can expand that equation for a clearer view: . Voilà! The new graph is beautifully quadratic and shifted just as we intended.

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