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A parabola opening up or down has vertex (0,2)(0,2) and passes through (−16,−14)(-16,-14). 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 (−16,−14)(-16,-14). 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{(−16-16, −14-14)} that lies on the parabola.
  2. Solve Equation: Next, we solve the equation for aa.
  3. Write Vertex Form: Finally, we write the equation of the parabola in vertex form using the value of aa we found.

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