Final answer to the problem
$y=-\left(x-\frac{3}{2}\right)^2-\frac{19}{4}$
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Step-by-step Solution
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- Differential
- Find the derivative
- Find the integral
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
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1
Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($-1$) to all terms
$y=-\left(x^2-3x+7\right)$
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$y=-\left(x^2-3x+7\right)$
Learn how to solve equations problems step by step online. Solve the equation y=-x^2+3x+-7. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-1) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-3x+\frac{9}{4}. Simplify the addition \left(x- \frac{3}{2}\right)^2+7-\frac{9}{4}.
Final answer to the problem
$y=-\left(x-\frac{3}{2}\right)^2-\frac{19}{4}$
