Question

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

a) y = x2 + 3
b) y = x2-3
c) y = ( x + 3) 2
d) y = ( x - 3)2

Answer 1

Answer: Second 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, second option is correct.