Question

100x-x^2 biggest value
​

Answer 1

Explanation:

The maximum or minimum of a quadratic function occurs at

x

=

−

b

2

a

. If

a

is negative, the maximum value of the function is

f

(

−

b

2

a

)

. If

a

is positive, the minimum value of the function is

f

(

−

b

2

a

)

.

f

max

x

=

a

x

2

+

b

x

+

c

occurs at

x

=

−

b

2

a

Find the value of

x

equal to

−

b

2

a

.

x

=

−

b

2

a

Substitute in the values of

a

and

b

.

x

=

−

100

2

(

−

1

)

Remove parentheses.

x

=

−

100

2

(

−

1

)

Simplify

−

100

2

(

−

1

)

.

Tap for more steps...

x

=

50

Replace the variable

x

with

50

in the expression.

f

(

50

)

=

−

(

50

)

2

+

100

(

50

)

Simplify the result.

Tap for more steps...

2500

Use the

x

and

y

values to find where the maximum occurs.

(

50

,

2500

)

image of graph