Find The Maximum/Minimum Value G(x)=-2x^2-8x-7 - Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Find the Maximum/Minimum Value g(x)=-2x^2-8x-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 2.3.1.2Cancel the common factors.Tap for more steps...Step 2.3.1.2.1Factor out of .Step 2.3.1.2.2Cancel the common factor.Step 2.3.1.2.3Rewrite the expression.Step 2.3.2Cancel the common factor of and .Tap for more steps...Step 2.3.2.1Factor out of .Step 2.3.2.2Cancel the common factors.Tap for more steps...Step 2.3.2.2.1Factor out of .Step 2.3.2.2.2Cancel the common factor.Step 2.3.2.2.3Rewrite the expression.Step 2.3.2.2.4Divide by .Step 2.3.3Multiply 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 3.2.1.1Multiply by by adding the exponents.Tap for more steps...Step 3.2.1.1.1Multiply by .Tap for more steps...Step 3.2.1.1.1.1Raise to the power of .Step 3.2.1.1.1.2Use the power rule to combine exponents.Step 3.2.1.1.2Add and .Step 3.2.1.2Raise to the power of .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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