Question

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

Answer 1

`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 2

Answer: Third option is correct.

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.