**Drawing the graphs of functions y = mx + n**

The simplest way to draw the graph of a linear function is to use values from a table of values. You should use values that are easy to calculate and, in the interest of drawing accuracy, values that are not too close together.

**Determining the zero point**

To determine the zero of a linear function - homework help geometry , substitute in the function equation for y = 0 and solve the resulting equation of determination for x.

Quadratic Functions

**A function with an equation of the form**

y=f(x)=ax2+bx+c (with a≠0, x∈R)

or an equation that can be transformed into this form by equivalent transformation is called a quadratic function.

Here ax2 is called the quadratic term, bx the linear term and c the absolute term of the function equation.

The graph of a quadratic function is a parabola.

If we assume for the sake of simplicity that a bungee jumper falls freely from a height of h0 metres in the first phase after his jump, then according to the laws of physics he would find himself after t seconds at a height of

h=h0-g2⋅t2 (g=9.81 ms2)

above the surface of the earth.

**The equation**

h(t)=h0-g2⋅t2

describes a special quadratic function.

Definition: A function with an equation of the form

y=f(x)=ax2+bx+c (with a≠0, x∈R)

or an equation that can be transformed into this form by equivalent transformations is called a quadratic function. (ax2 is called the quadratic term, bx the linear term and c the absolute term of the function equation).

The graph of a quadratic function is a parabola (quadratic parabola). The axis of symmetry of the parabola is parallel to the y-axis and intersects the graph of the function at the vertex (apex) of the parabola.

For a 0 the parabola is open upwards and for a 0 it is open downwards.