Find the Maximum/Minimum Value f(x)=x^2+9x+18

Math
The maximum or minimum of a quadratic function occurs at . If is negative, the maximum value of the function is . If is positive, the minimum value of the function is .
occurs at
Find the value of equal to .
Substitute in the values of and .
Remove parentheses.
Multiply by .
Replace the variable with in the expression.
Simplify the result.
Tap for more steps…
Simplify each term.
Tap for more steps…
Use the power rule to distribute the exponent.
Tap for more steps…
Apply the product rule to .
Apply the product rule to .
Raise to the power of .
Multiply by .
Raise to the power of .
Raise to the power of .
Multiply .
Tap for more steps…
Multiply by .
Combine and .
Multiply by .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps…
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Multiply by .
Subtract from .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Multiply by .
Add and .
Move the negative in front of the fraction.
The final answer is .
Use the and values to find where the minimum occurs.
Find the Maximum/Minimum Value f(x)=x^2+9x+18

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top