Find The Maximum/Minimum Value G(x)=-x^2-4x-7 - Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Find the Maximum/Minimum Value g(x)=-x^2-4x-7 Step 1The maximum of a quadratic function occurs at . If is negative, the maximum value of the function is . occurs at Step 2Find the value of .Tap for more steps...Step 2.1Substitute in the values of and .Step 2.2Remove parentheses.Step 2.3Simplify .Tap for more steps...Step 2.3.1Cancel the common factor of and .Tap for more steps...Step 2.3.1.1Factor out of .Step 2.3.1.2Move the negative one from the denominator of .Step 2.3.2Rewrite as .Step 2.3.3Multiply .Tap for more steps...Step 2.3.3.1Multiply by .Step 2.3.3.2Multiply by .Step 3Evaluate .Tap for more steps...Step 3.1Replace the variable with in the expression.Step 3.2Simplify the result.Tap for more steps...Step 3.2.1Simplify each term.Tap for more steps...Step 3.2.1.1Raise to the power of .Step 3.2.1.2Multiply by .Step 3.2.1.3Multiply by .Step 3.2.2Simplify by adding and subtracting.Tap for more steps...Step 3.2.2.1Add and .Step 3.2.2.2Subtract from .Step 3.2.3The final answer is .Step 4Use the and values to find where the maximum occurs.Step 5

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