SOLUTION: The line of symmetry for y= x^2 + 16x + 60 is x= -8. Find the equations of three different quadratics that also have x= -8 as the line of symmetry. Make sure that each equation h

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The line of symmetry for y= x^2 + 16x + 60 is x= -8. Find the equations of three different quadratics that also have x= -8 as the line of symmetry. Make sure that each equation h      Log On


   



Question 1179959: The line of symmetry for y= x^2 + 16x + 60 is x= -8. Find the equations
of three different quadratics that also have x= -8 as the line of
symmetry. Make sure that each equation has a different value of a.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
the line of symmetry passes through the vertex
first, write your equation in vertex form
y=+a%28x-+h%29%5E2+%2Bk
y=+%28x%5E2+%2B+16x%29+%2B+60.......complete square
y=+%28x%5E2+%2B+16x%2B8%5E2%29+-8%5E2%2B+60
y=+%28x+%2B8%29%5E2+-4-> in this case +a=1



the equations of three different quadratics:
1.
y=+a%28%28x%2B+8%29%5E2+-4%29........let a=2
y=+2%28x%2B+8%29%5E2+-8
y=+2x%5E2+%2B+32x+%2B+120




2.
y=+a%28%28x%2B+8%29%5E2+-4%29.......let a=-2
y=+-2%28x%2B+8%29%5E2+-8
y=+-2x%5E2+-+32x+-+136



3.
y=+a%28%28x%2B+8%29%5E2+-4%29.......let a=5
y=+5%28%28x%2B+8%29%5E2+-4%29
y=+5%28x%2B+8%29%5E2+-20
y=+5x%5E2+%2B+80x+%2B+300