Problem 16 of 34fun-016
The graph of is reflected over the -axis, then shifted 3 units right and 2 units up. Which equation describes the resulting graph?
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Solution walkthrough1:48
- Start with : a parabola that opens up with its vertex at . Apply the changes in order.
- Reflecting over the -axis turns every height into , so the equation becomes .
- Shifting 3 right replaces with : . The vertex is where .
- Shifting 2 up adds to every height: , with vertex .
- Traps: A negates , not the height. B has , which moves left. D has , which moves down.