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A parabola opening up or down has vertex (0,−1)(0,-1) and passes through (4,1)(4,1). 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,−1)(0,-1) and passes through (4,1)(4,1). 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 (4,1)(4, 1) that lies on the parabola.
  2. Solve Equation: Solve the equation for aa.
  3. Substitute 'a' Value: Finally, we substitute the value of 'a' back into the equation y=ax2−1y = ax^2 - 1 to get the equation of the parabola in vertex form.

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