procedure to draw hyperbola graph

Dear readers.. as we discussed about properties of hyperbola and now let me help you understand more on the procedure to draw hyperbola graph.

Before we learn on drawing... let me help you on the important steps involved in it

• First we have to plot the intercepts The four points are (a,0), (-a,0) and (0,b), (0,-b)
• Using this four points draw the rectangle
• Draw two lines forming diagonals of the rectangle .It represents the asymptotes of the hyperbola
• Now draw the hyperbola that with the vertices's (a,0) and (-a,0)

Procedure to draw a graph -
Two variables x and y are connected by an equation of the form y = ax2 + bx + c then it is called a quadratic polynomial. We have already seen in Algebra that the equation ax2 + bx + c = 0 is a quadratic equation. This is the reason why we call y = ax2 + bx + c as a quadratic graph. For each value of x the equation y = ax2 + b x + c gives a value of y and we obtain an ordered pair (x, y) of real numbers. The set of all such ordered pairs define the graph of y = ax2 + bx + c called the quadratic graph.

The following procedure is used in drawing quadratic graphs:

• By substituting selected values for x in the equation y = ax² + bx + c, we get corresponding values for y and then we form a table.

• Draw x-axis and y-axis on the graph sheet and choose a suitable scale on the co-ordinates axes. The scale for both the axes are chosen depending on the values of the co-ordinates obtained.

• Plot the points in the Cartesian plane of the graph sheet.

• Join these points by a smooth curve, then we get the required quadratic graph of y = a x² + bx + c

I hope you got an idea on this lesson. Keep reading and i will help you also go through on Different Line Graphs on hyperbola graph