Question

Which of the equations below could be the equation of this parabola?

Vertex
(0,0)
. 10
10
10
o A. y = 2x²
O B. yw - 2x²
O c, x==137²
O D. 1/4

Answer 1

Option B:
`y = -(1)/(2) x^2`

Explanation:

The parabola has its concavity downwards, so we need a function in the model:

`y = ax^2 + bx + c`

With a negative value of 'a'

The vertex is (0,0), so we have that:

`0 = 0a + 0b + c`

`c = 0`

The x-coordinate of the vertex is given by the equation:

`x\_vertex = -b/2a`

`-b/2a = 0`

`b = 0`

So we have a function in the model:

`y = ax^2`

With a < 0

The only option with this format is B:

`y = -(1)/(2) x^2`