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A parabola opening up or down has vertex (0,6)(0,6) 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 (0,6)(0,6) and passes through (4,2)(4,2). Write its equation in vertex form.\newlineSimplify any fractions.
  1. Find 'a' Value: Now we need to find the value of ' extit{a}'. We know that the parabola passes through the point (4,2)(4,2). We can substitute x=4x = 4 and y=2y = 2 into the equation to find ' extit{a}'.
  2. Isolate 'aa': Next, we solve for 'aa' by isolating it on one side of the equation.
  3. Write Final Equation: Now that we have the value of aa, we can write the final equation of the parabola in vertex form.

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