Before Christmas, we have to go through chapter 4.

First,  there are 3 types quadratic function

• 1) Standard form: y = ax^2 + bx + c where the a,b, and c are numbers.
• 2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are numbers.
• 3) Vertex form: y = a(x + b)^2 + c again the a, b, and c are numbers.

My favorite part and I found it interesting is graphing quadratic function

features in a graph :

Vertex

the lowest and highest point of the parabola is called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph or the maximum value.

Axis of Symmetry

Parabolas also have an axis of symmetry, which is parallel to the y-axis. It’s is a vertical line drawn through the vertex.

-intercept

The y-intercept is the point at which the parabola crosses the y-axis. There cannot be more than one such point, for the graph of a quadratic function. If there were, the curve would not be a function, as there would be two values.

-intercepts

The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of $x$ at which $y=0$. There may be zero, one, or two $x$-intercepts. The number of -intercepts varies depending upon the location of the graph.

here is an example of graphing, given a vertex form y= (x-1)^2+1

there is a hidden 1 before (x-1)^2, so it’s positive, the graph opens upwards, x-(+1) makes the graph shift right to (1), x=1. the +1 y= (x-1)^2+1 makes the graph goes upwards (y=1). This is how we graph.