SOLUTION: The Directions state: Write the equation of the quadratic function in standard form y = a ( x - h ) ^ 2 + k. Given the vertex is ( -1 , -4 ) and passes through the point ( -2 ,

Algebra ->  Rational-functions -> SOLUTION: The Directions state: Write the equation of the quadratic function in standard form y = a ( x - h ) ^ 2 + k. Given the vertex is ( -1 , -4 ) and passes through the point ( -2 ,       Log On


   



Question 154999: The Directions state: Write the equation of the quadratic function in standard form y = a ( x - h ) ^ 2 + k.
Given the vertex is ( -1 , -4 ) and passes through the point ( -2 , -6 ).

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(h,k)=(-1,-4) (x,y)=(-2,-6)
y=a(x-h)^2+k
-6=a(-2-(-1))^2+(-4)
-6=a(-1)^2-4
-6=a-4
a=-2
y=-2(x+1)^2-4
=-2(x^2+2x+1)-4
=-2x^2-4x-6
Check the graph.
.
Ed
.
graph%28500%2C500%2C-5%2C5%2C-10%2C2%2C-2x%5E2-4x-6%29