Wade Carlson
08/17/2023 · Senior High School
3. Sketch the parabola \( 25 x^{2}-10 x-300 y=2099 \) showing the vertex, focus, directrix and end points of latus rectum.
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The vertex is at \( \left(\frac{1}{5}, -7\right) \), the focus is at \( \left(\frac{1}{5}, -4\right) \), the directrix is \( y = -10 \), and the endpoints of the latus rectum are \( \left(-\frac{13}{10}, -4\right) \) and \( \left(\frac{8}{5}, -4\right) \). Sketch the parabola opening upwards through these points.
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