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The new equation is
.
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Extra Insights
To understand how the graph of
shifts, imagine a downward-opening parabola centered at the origin. When this graph is shifted 2 units up, we add 2 to the entire equation, resulting in
. This new equation still opens downwards, but now its vertex is located at the point (0, 2), making it look like it’s floating a bit higher on the y-axis!
If you’re plotting the points of this transformed parabola, it helps to remember how symmetry works! The graph’s shape remains the same, but you’ll notice that all of the y-values are now 2 units higher than in the original graph, giving it a new peak at (0, 2). Drawing this will definitely help in visualizing how the graph behaves and where it stretches across the x-axis!

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