Find The Vertex Form G(x)=8x^2-14x+3 | Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Find the Vertex Form g(x)=8x^2-14x+3 Step 1Write as an equation.Step 2Complete the square for .Tap for more steps...Step 2.1Use the form , to find the values of , , and .Step 2.2Consider the vertex form of a parabola.Step 2.3Find the value of using the formula .Tap for more steps...Step 2.3.1Substitute the values of and into the formula .Step 2.3.2Simplify the right side.Tap for more steps...Step 2.3.2.1Cancel the common factor of and .Tap for more steps...Step 2.3.2.1.1Factor out of .Step 2.3.2.1.2Cancel the common factors.Tap for more steps...Step 2.3.2.1.2.1Factor out of .Step 2.3.2.1.2.2Cancel the common factor.Step 2.3.2.1.2.3Rewrite the expression.Step 2.3.2.2Move the negative in front of the fraction.Step 2.4Find the value of using the formula .Tap for more steps...Step 2.4.1Substitute the values of , and into the formula .Step 2.4.2Simplify the right side.Tap for more steps...Step 2.4.2.1Simplify each term.Tap for more steps...Step 2.4.2.1.1Raise to the power of .Step 2.4.2.1.2Multiply by .Step 2.4.2.1.3Cancel the common factor of and .Tap for more steps...Step 2.4.2.1.3.1Factor out of .Step 2.4.2.1.3.2Cancel the common factors.Tap for more steps...Step 2.4.2.1.3.2.1Factor out of .Step 2.4.2.1.3.2.2Cancel the common factor.Step 2.4.2.1.3.2.3Rewrite the expression.Step 2.4.2.2To write as a fraction with a common denominator, multiply by .Step 2.4.2.3Combine and .Step 2.4.2.4Combine the numerators over the common denominator.Step 2.4.2.5Simplify the numerator.Tap for more steps...Step 2.4.2.5.1Multiply by .Step 2.4.2.5.2Subtract from .Step 2.4.2.6Move the negative in front of the fraction.Step 2.5Substitute the values of , , and into the vertex form .Step 3Set equal to the new right side.

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