SOLUTION: A quadratic function is much easier to graph when written in the following form. y = a(x - h)2 + k To convert an equation from the form y = ax2 + bx + c into the form y = a(x

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A quadratic function is much easier to graph when written in the following form. y = a(x - h)2 + k To convert an equation from the form y = ax2 + bx + c into the form y = a(x      Log On


   

Question 916820: A quadratic function is much easier to graph when written in the following form.
y = a(x - h)2 + k
To convert an equation from the form y = ax2 + bx + c into the form y = a(x - h)2 + k use completing the square.
What does the equation y = 3x2 - 18x + 34 become after completing the square?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y+=+a%28x+-+h%29%5E2+%2B+k
To convert an equation from the form y+=+ax%5E2+%2B+bx+%2B+c into the form y+=+a%28x+-+h%29%5E2+%2B+k use completing the square.
What does the equation y+=+3x%5E2+-18x+%2B+34 become after completing the square?

y+=+3x%5E2+-18x+%2B+34
y+=+3x%5E2+-18x+%2B+27%2B7%29
y+=+%283x%5E2+-18x+%2B+27%29%2B7%29

y=3%28x%5E2-6x%2B9%29%2B7
y=3%28x-3%29%5E2%2B7