Answer:
B)
Step-by-step explanation:
We are given,
The graph of the parabola opens downwards.
This means that the leading co-efficient of the function will be negative.
So, options C and D are not possible.
Moreover, it is given that the graph cuts x-axis near i.e.
= 1.5 and
i.e.
= 4.5.
i.e. At y=0, the value of x is near and
.
A. So, in , we put y =0.
i.e.
i.e.
i.e. x = 0.68 and x = 3.41
We see that this does not crosses the x-axis at the given points.
So, option A is wrong.
B. Also, in , we put y =0.
i.e.
i.e.
i.e. x = 1.68 and x = 4.41.
Thus, this equation cuts the x-axis near the given points i.e. 1.5 and 4.5.
Hence, the equation of the given graph is .