Find The Standard Form Of The Parabola G(x)=x^2-8x | Mathway

Enter a problem... Precalculus Examples Popular Problems Precalculus Find the Standard Form of the Parabola g(x)=x^2-8x Step 1Write as an equation.Step 2Since is on the right side of the equation, switch the sides so it is on the left side of the equation.Step 3Complete the square.Tap for more steps...Step 3.1Use the form , to find the values of , , and .Step 3.2Consider the vertex form of a parabola.Step 3.3Find the value of using the formula .Tap for more steps...Step 3.3.1Substitute the values of and into the formula .Step 3.3.2Cancel the common factor of and .Tap for more steps...Step 3.3.2.1Factor out of .Step 3.3.2.2Cancel the common factors.Tap for more steps...Step 3.3.2.2.1Factor out of .Step 3.3.2.2.2Cancel the common factor.Step 3.3.2.2.3Rewrite the expression.Step 3.3.2.2.4Divide by .Step 3.4Find the value of using the formula .Tap for more steps...Step 3.4.1Substitute the values of , and into the formula .Step 3.4.2Simplify the right side.Tap for more steps...Step 3.4.2.1Simplify each term.Tap for more steps...Step 3.4.2.1.1Raise to the power of .Step 3.4.2.1.2Multiply by .Step 3.4.2.1.3Divide by .Step 3.4.2.1.4Multiply by .Step 3.4.2.2Subtract from .Step 3.5Substitute the values of , , and into the vertex form .Step 4Add to both sides of the equation.

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