There are different types of equations in which, we get a parabola.

The standard form of these equations with vertex as origin are :

1) y

2) y

3) x

4) y

1) Quadratic equation - > f(x)= y = ax

Factors of the given equation are (x +3)(x +2)

∴ x- intercepts are x = -3 and x = -2. Mark these points on the x- axis.

From the given equation b= 5 and a = 1

x = -5/2(1) = -5/2 = -2.5

To find the y-coordinate of vertex put x = -2.5 in the given equation

y = (- 2.5)

y = 6.25 - 12.5 + 6

y = 12.25 - 12.5

y = - 0.25

∴

Mark the coordinates of vertex in the graph.

Now, join x-intercepts and vertex as a curve. This curve is a Parabola.

2) When vertex as origin there are 4 types of parabola.

The standard form is y

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