Math, asked by blueishu3910, 15 days ago

How to find the parabola with maximum value 8 at x= -1, and passing through point (-3, 5)?

Answers

Answered by mahighagargunde
0

Answer:

The equation is

y

=

3

x

2

2

x

+

7

Explanation:

The slope at a point is

=

the derivative.

Let

f

(

x

)

=

a

x

2

+

b

x

+

c

f

'

(

x

)

=

2

a

x

+

b

f

'

(

1

)

=

2

a

+

b

=

4

, this is equation

1

and

f

'

(

1

)

=

2

a

+

b

=

8

, this is equation

2

Adding the 2 equations, we get

2

b

=

4

,

,

b

=

2

2

a

2

=

4

, from equation

1

a

=

3

Therefore,

f

(

x

)

=

3

x

2

2

x

+

c

The parabola passes through

(

2

,

15

)

So,

f

(

2

)

=

3

4

2

2

+

c

=

8

+

c

=

15

c

=

15

8

=

7

Finally

f

(

x

)

=

3

x

2

2

x

+

7

Step-by-step explanation:

hope it is helpful pls make me Brainlist

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