The most important way to learn a function is to have a picture in your mind, draw a picture on paper, and there is a picture to have the truth. Combining image and nature, drawing image and nature is the so-called combination of numbers and shapes, and its function is invincible!

Quadratic function image and property formula;

Quadratic parabola, image symmetry is the key;

Define the opening, vertex and intersection of the image boundary;

The opening and size are broken by a,

The c-axis and the y-axis intersect,

The symbol of B is special, and the symbol is associated with A;

First find the vertex position, and use the y axis as the reference line.

The difference between left and right is 0, remember that there is no confusion in your heart;

Vertex coordinates are the most important and appear in the general formula.

The horizontal scale is the axis of symmetry, and the maximum value of the vertical scale function is shown in.

Generally, vertices, intersections and different expressions can be interchanged.

Definition and translation formula of quadratic function;

When the quadratic equation changes from zero to y, a quadratic function appears.

All real numbers define the domain, and images are called parabolas.

A parabola has an axis of symmetry, and both sides are monotonous and opposite.

A determines the opening and size, and the intersection of spools is called the vertex.

Vertex is either high or low. Up and down are conspicuous.

If you want to draw a parabola, you can also translate the pursuit point.

Extract formulas and set vertices, and then select them in two ways.

After drawing the list, connect the lines and keep the translation rules in mind.

Add parentheses to the left and right, and add and subtract redundant numbers.

A set the opening and size, with the opening facing upward.

The absolute value is large and the opening is small, and the opening is negative.

Parabola has an axis of symmetry, and the increase and decrease characteristics can be seen in the figure.