Answer: y = 2(x-2)(x+1)
Explanation:
A parabola is a curve where directly opposite points are equal distances from each other.
Naturally, it curves upwards, but if it is a negative parabola, it curves downwards.
In the parabola shown in the question, it is curved upwards so it is positive.
Parabolas, if not translated about the x axis, also have two x intercepts, also known as zeros.
In an equation, they are written in this format (x +/- #) (x +/- #). When solving for zeros, you set the inner equations equal to zero to find where they intercept the x axis.
As they zeros in this parabola are x =. 2 and x = -1, in the appropriate format, it would be written as (x-2) (x+1).
Finally, to address the shrinking and stretching that can be applied to a parabola. Shrinking and stretching is where you multiply a function by a number to making it either shrink or stretch vertically.
Seeing that the graphed parabola is not centered on the y axis and does is not being translated/moved horizontally, this means that the graph shrunk by a value: 2