Question

Which of the equations below could be the equation of this parabola?-5O A. x=2y²OB. y=-2x²O C. x=-2y²OD. y= 2x²5(0,0) T6Vertex105Hx

Answer 1

Given: Graph of a parabola is given.

Required: To determine the equation of the parabola.

Explanation: The vertex form of a parabola is-

`y=a(x-h)^2+k`

Where (h,k) is the vertex and the value of a determines if the parabola is facing upward (a>0) or downward (a<0).

Also, the parabola is along the y axis.

Thus from the given given figure we see that the vertex is at the origin (0,0), and the parabola is facing downwards.

So the equation of the parabola is-

`y=-2x^2`

Final Answer: Option B is correct.