Which function in vertex form is equivalent to f(x) = x2 + x +1?




What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?
On a coordinate plane, a parabola opens up. It starts in quadrant 1, crosses the x axis where the vertex is in quadrant 4, and crosses the x-axis back into quadrant 1.

The function f(x) = –(x – 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?
The function f(x) = −(x + 5)(x + 1) is shown.

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