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A parabola opening up or down has vertex (0,3)(0,3) and passes through (4,5)(4,5). Write its equation in vertex form.\newlineSimplify any fractions.

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Full solution

Q. A parabola opening up or down has vertex (0,3)(0,3) and passes through (4,5)(4,5). Write its equation in vertex form.\newlineSimplify any fractions.
  1. Find 'a' Value: Now we need to find the value of 'aa' using the point (4,5)(4,5) that lies on the parabola.
  2. Solve for ' extit{a}': Next, we solve for ' extit{a}' by isolating it on one side of the equation.
  3. Substitute aa Value: Finally, we substitute the value of aa back into the initial form of our parabola's equation to get the equation in vertex form.

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