Math 11 | Caitlin's Blog

The form of a quadratic function is f(x) = ax² + bx + c
b) The parabola is perfectly symmetrical on either side of the y axis and it continues to infinity shaped like a “U”.
a) The graph is shown with having the parabola below the x axis, almost as if it has been reversed from when a>0, which looks like an upside down “U”. i) There is a maximum point where the line intersects with an axis (x or y). b) i) There is a maximum point where the line intersects with an axis (x or y). c) The parabola is once again symmetrical along the y axis and the lowest point the line reaches is (0,0) with the “U” facing upwards. The line continues to infinity as well. d) When a>1, the parabola’s width gets smaller and smaller as the number is increases.
When a is negative, the vertex is minimum. When a is positive, the vertex is maximum.
The graph does not chance when b changes.
The graph does not change when c changes.

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