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A parabola opening up or down has vertex (0,2)(0,2) and passes through (−4,−2)(-4,-2). 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 (−4,−2)(-4,-2). Write its equation in vertex form.\newlineSimplify any fractions.
  1. Find 'a' using point: Now we need to find the value of 'a' using the point (−4,−2)(-4, -2) that lies on the parabola.
  2. Solve for ' extit{a}': Next, we solve for ' extit{a}'.
  3. Write equation in vertex form: Finally, we write the equation of the parabola in vertex form using the value of ' extit{a}' we just found.

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