Question

draw a graph y=x2-4hence x2-x-12=0​

Answer 1

Answer:

Solution :

Now, let us draw the graph of y = x2−4

x

-4

-3

-2

-1

0

1

2

3

4

x^2

16

9

4

1

0

1

4

9

16

-4

-4

-4

-4

-4

-4

-4

-4

-4

-4

y

12

5

0

-3

-4

-3

0

5

12

Points to be plotted :

(-4, 12) (-3, 5) (-2, 0) (-1, -3) (0, -4) (1, -3) (2, 0) (3, 5) (4, 12)

To find the x-coordinate of the vertex of the parabola, we may use the formula x = -b/2a

x = 0/2(2)  =  0

By applying x = 0, we get the value of y.

y = 02 - 4

y = -4

Vertex (0, -4)

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y  =  x2−4 ------(1)

0  =  x2−x −12  ------(2)

(1) - (2)

       y  =  x2 − 4 

     0  =  x2−x −12 

    (-)   (-)  (+)  (+)

    -----------------

       y = x + 8 

Now let us draw a graph for the line

x

-3

-2

-1

0

1

2

3

x

-3

-2

-1

0

1

2

3

+8

+8

+8

+8

+8

+8

+8

+8

y

5

6

7

8

9

10

11