Which equation could generate the curve in the graph below?

The answer is option 1.

Step-by-step explanation:

In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).

Option 1,

Option 2,

Option 3,

Option 4,

As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.