Question

draw the graph of polynomial y=-2x^2+5x+3​

Answer 1

Answer:

The given polynomial is

To plot the graph of the quadratic polynomial which is always parabola, the following steps have to be followed :-

Step :- 1 Vertex of parabola

We know, vertex of parabola or quadratic polynomial ax² + bx + c is given by

Here,

So, vertex of the parabola is given by

Step :- 2

Point of intersection with x - axis

We know, on x - axis, y = 0.

So, on substituting the value in given curve, we get

Hence, the point of intersection with x- axis is (- 1, 0) and ( - 1.5, 0).

Now,

Point of intersection with y - axis.

We know, on y - axis, x = 0

So, on Substituting the value in given curve, we get

Hence, the point of intersection with y- axis is (0, 3).

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

➢ Now draw a graph using the points.

➢ See the attachment graph.