Answered

Which of the following equations is of a parabola with a vertex at (0, -3)?

y = (x - 3)^2

y = (x + 3)^2

y = x^2 - 3

y = x^2 + 3

Verified Answer :

\(The\ vertx\ form:y=a(x-h)^2+k\\where\ the\ coordinates\ of\ vertex\ are\ (h;\ k)\\\\-------------------------\\\\vertex:(0;-3)\\\\y=a(x-0)^2+(-3)=ax^2-3\\\\if\ a=1\ then\ y=x^2-3\leftarrow answer\)

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

We need a parabola with a vertex at (0,-3)

If we select the equation:

\(y = x^2 - 3\)

When we put x = 0, we get

\(y=0-3\\\\y=-3\)

And similarly, when we put y = -3, we get

\(-3=x^2-3\\\\0=x^2\\\\x=0\)

Hence, third option is correct.

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