x4 chart. Quadratic and cubic functions

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"Natural logarithm" - 0.1. natural logarithms. 4. "Logarithmic darts". 0.04. 7.121.

"Power function grade 9" - U. Cubic parabola. Y = x3. Grade 9 teacher Ladoshkina I.A. Y = x2. Hyperbola. 0. Y \u003d xn, y \u003d x-n where n is the given natural number. X. The exponent is an even natural number (2n).

"Quadratic Function" - 1 Definition quadratic function 2 Function properties 3 Function graphs 4 Quadratic inequalities 5 Conclusion. Properties: Inequalities: Prepared by Andrey Gerlitz, a student of grade 8A. Plan: Graph: -Intervals of monotonicity at a > 0 at a< 0. Квадратичная функция. Квадратичные функции используются уже много лет.

"Quadratic function and its graph" - Decision. y \u003d 4x A (0.5: 1) 1 \u003d 1 A-belongs. When a=1, the formula y=ax takes the form.

"Class 8 quadratic function" - 1) Construct the top of the parabola. Plotting a quadratic function. x. -7. Plot the function. Algebra Grade 8 Teacher 496 school Bovina TV -1. Construction plan. 2) Construct the axis of symmetry x=-1. y.

The function y=x^2 is called a quadratic function. The graph of a quadratic function is a parabola. General form parabola is shown in the figure below.

quadratic function

Fig 1. General view of the parabola

As can be seen from the graph, it is symmetrical about the Oy axis. The axis Oy is called the axis of symmetry of the parabola. This means that if you draw a straight line parallel to the Ox axis above this axis on the chart. Then it intersects the parabola at two points. The distance from these points to the y-axis will be the same.

The axis of symmetry divides the graph of the parabola, as it were, into two parts. These parts are called the branches of the parabola. And the point of the parabola that lies on the axis of symmetry is called the vertex of the parabola. That is, the axis of symmetry passes through the top of the parabola. The coordinates of this point are (0;0).

Basic properties of a quadratic function

1. For x=0, y=0, and y>0 for x0

2. The quadratic function reaches its minimum value at its vertex. Ymin at x=0; It should also be noted that the maximum value of the function does not exist.

3. The function decreases on the interval (-∞; 0] and increases on the interval )