how do you graph y=x^2-2x-3!!
– Take a graph sheet
– draw x and y axis (both positive and negative)
– mark the coordinate values along both x and y axes
– mark values at unit distance 1 for both x nad y axis
– now substitute values x={-1,-2,-3,0,1,2,3} and so on and compute to get the corresponding y values.
– then make those values as points by making (x,y) coordinate pairs that are generated from equation respectively.
– plot those points on the graph sheets by looking at how much unit distance along each axis the point is.
– join the points to get a U – shaped graph
First we have to find which shape will be the graph.
As from the equation y=x^2-2x-3 we can find that it is a equation of parabola.
Rewriting the equation we get
y+3=x^2-2x
Adding 1 to LHS and RHS
Y+4=X^2-2X+1
Y+4=(X-1)^2——————–(1)
Equation (1) is the equation of the parabola of the standard form 4aY=X^2
Which is a parabola in y-axis and open to positive y-direction
The parabola represented by equation (1)
Is a shifted parabola from the origin.that is the vertex of the parabola will be at the point (1,-4).
…,……………………………………..
Now take a graph paper,plot x and y axes
And put values x=1,2,3,4,… in equation (1) And obtain the corresponding y values and mark all the points in the graph.now plot the parabola by connecting all the points..
