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A parabola opening up or down has vertex (0,0)(0,0) and passes through (12,−18)(12,-18). Write its equation in vertex form.\newlineSimplify any fractions.

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Full solution

Q. A parabola opening up or down has vertex (0,0)(0,0) and passes through (12,−18)(12,-18). 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{(1212, −18-18)} that lies on the parabola.
  2. Solve for 'a': Solve for 'a' by dividing both sides of the equation by 122 12^2 .
  3. Write Parabola Equation: Now that we have the value of aa, we can write the equation of the parabola in vertex form.

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