Question

What type of graph will –x2 + 3x – 4 represents​

Answer 1

Answer:

PARABOLA

Step-by-step explanation:

In this question we have to find out the type of the equation by the graphical representation.

The given equation is y=x2−3x−4

.

Now we need to first graphically plot it, for doing that we need to find out the y coordinates for the x values x=0,1,2,3

…...

Now putting x=0

in the given equation we get,

y=−4

putting x=1

in the given equation we get,

y=1−3−4

Solving we get,

y=−6

Now putting x=2

in the given equation we get,

y=22−3×2−4

y=4−6−4=−6

Now putting x=3

in the given equation we get,

y=32−3×3−4

y=9−9−4=−4

Putting y=0

in the given equation we get,

x2−3x−4=0

Solving we get,

x2−4x+x−4=0

x(x−4)+1(x−4)=0

(x−4)(x+1)=0

x=4or,−1

Hence the points on the given equation are

(0,−4),(1,−6),(2,−6),(3,−4),(4,0),(−1,0)

We can easily conclude that the graphical representation of the given graph is a parabola.

Hence Graph drawn from the equation y=x2−3x−4

will be a parabola.