Question

In the graph of $y=2 x^2-8 x+9$ ,find the coordinates of the point symmetric to the point $(-1,19)$ about the axis of symmetry.

   In the graph of $y=2 x^2-8 x+9$ ,find the coordinates of the point symmetric to the point $(-1,19)$ about the axis of symmetry.
Precalculus: A Right Triangle Approach
Precalculus: A Right Triangle Approach
Ratti, McWaters,… 5th Edition
Chapter 3, Problem 112 ↓
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In the graph of $y=2 x^2-8 x+9$ ,find the coordinates of the point symmetric to the point $(-1,19)$ about the axis of symmetry.
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Transcript

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00:01 This question asks us to graph each equation and label the axis of symmetry and the vertex.
00:05 What we know is that we can use the formula, x is negative b over 2a, to get the axis of symmetry.
00:10 We know that our b is 8 and our a is negative 2, which means we end up with an axis of symmetry of 2.
00:18 Plug this back into the y equation...
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