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Which of the following equations is of a parabola with a vertex at (1, -2)? y = (x - 1)2 - 2 y = (x - 1)2 + 2 y = (x + 1)2 - 2 y = (x + 1)2 + 2

Verified Answer :

ayeKassandra

The answer is y=(x+1)2-2y

Answer:

\(y=(x-1)^{2}-2\)

Step-by-step explanation:

Givens

  • The vertex is at \((1,-2)\).

The explicit form of a parabola is

\(y=a(x-h)^{2}+k\)

Where \((h,k)\) is the vertex.

So, we know that \(h=1, k=-2, a=1\). Replacing these values, we have the following expression

\(y=a(x-h)^{2}+k\\y=(x-1)^{2}-2\)

Therefore, the right answer is the first choice

\(y=(x-1)^{2}-2\)

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