Equation of a parabola HSG.GPE.A.2 Grade 10 SBAC Practice Test Questions TOC | Lumos Learning

Equation of a parabola HSG.GPE.A.2 Question & Answer Key Resources Lumos StepUp - Smarter Balanced Online Practice and Assessments - Grade 10 Mathematics

Lumos StepUp - Smarter Balanced Online Practice and Assessments - Grade 10 Mathematics Equation of a parabola

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What is the equation of the parabola if the focus is at the point \(\left(8,5\right)\) and the equation of the directrix is \(y=3?\) Enter your answer in vertex form, \(y=a\left(x-h\right)^{2} +k,\) and in your own words, indicate how you arrived at the answer giving proper steps or justification.