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A parabola opening up or down has vertex (0,2)(0,2) and passes through (8,−6)(8,-6). Write its equation in vertex form.\newlineSimplify any fractions.

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Full solution

Q. A parabola opening up or down has vertex (0,2)(0,2) and passes through (8,−6)(8,-6). Write its equation in vertex form.\newlineSimplify any fractions.
  1. Find 'a' Value: Now we need to find the value of ' extit{a}' using the point extit{(88, −6-6)} that lies on the parabola.
  2. Solve Equation: Solve the equation for aa.
  3. Write Final Equation: Write the final equation of the parabola in vertex form using the value of aa we found.

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