We want to write the equation of the given parabola. We can do this using the factored form of a quadratic function.
y= a(x- s)(x-t)In this expression, a, s, and t are either positive or negative constants. Let's start by identifying s and t. These will be the x-coordinates of the points of intersection of the parabola and the x-axis. Let's consider the graph.
Therefore, the points have coordinates ( -3,0) and (2,0). This means that we have s= -3 and t = 2. We can use these values to partially write the equation of the given function.
y= a(x-( - 3))(x-2)
⇕
y= a(x+3)(x-2)
Now, we shall look at the possible answers. The only one corresponding to the finally obtained equation is the answer H.
