it is a vertices's form of a function known as Quadratic
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If you want to graph the function, it is quite easy: y=a(x-h)2-k . . . you can plot the vertex (h,k); the 'a' tells you how wide or narrow the u-shape is, and whether it opens up or down.
That the function is a quadratic expression.
The slope of your quadratic equation in general form or standard form.
ax2 +bx + c = 0
y = x2 is the parent function, but it can be in the form y = ax2 + bx + c