Math, asked by laxmirajaiahp1165, 6 months ago

Graph of quadratic equations x²-9=0

Answers

Answered by Anonymous
0

Step-by-step explanation:

A quadratic equation is of the form:

a

x

2

+

b

x

+

c

=

0

We have :

y

=

f

(

x

)

=

x

2

9

Set

y

=

0

We have the quadratic equation:

x

2

9

=

0

Using the algebraic identity:

a

2

b

2

(

a

+

b

)

(

a

b

)

We can rewrite

x

2

9

=

0

as

x

2

3

2

=

0

(

x

+

3

)

(

x

3

)

=

0

(

x

+

3

)

=

0

,

(

x

3

)

=

0

x

=

3

,

x

=

3

Hence, there are two solutions for

x

So, we have two x-intercepts:

(

3

,

0

)

and

(

3

,

0

)

To find the y-intercept, set

x

=

0

y

=

(

0

)

2

9

=

0

y

=

9

Hence, the y-intercept:

(

0

,

9

)

The graph of

y

=

f

(

x

)

=

x

2

9

is given below:

enter image source here

Hope it helps.

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