SOLUTION: Write the quadratic function in the form f(x)=a(x-h)^2+k; Find the vertex and graph the function
(a) f(x)=x^2-6x
(b) f(x)=-x^2+4x+1
(c) f(x)=3x^2-10x+2
Algebra ->
Rational-functions
-> SOLUTION: Write the quadratic function in the form f(x)=a(x-h)^2+k; Find the vertex and graph the function
(a) f(x)=x^2-6x
(b) f(x)=-x^2+4x+1
(c) f(x)=3x^2-10x+2
Log On
Question 109848: Write the quadratic function in the form f(x)=a(x-h)^2+k; Find the vertex and graph the function
(a) f(x)=x^2-6x
(b) f(x)=-x^2+4x+1
(c) f(x)=3x^2-10x+2 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Write the quadratic function in the form f(x)=a(x-h)^2+k; Find the vertex and graph the function
(a) f(x)=x^2-6x
x^2-6x+9 = y+9
(x-3)^2 = y+9
Vertex: (3,-9)
-----------------
(b) f(x)=-x^2+4x+1
x^2+4x+4 = y-1+4
(x+2)^2 = y+3
Vertex: (-2,-3)
----------------
(c) f(x)=3x^2-10x+2
3x^2-10x = y-2
3(x^2-(10/3)x+(5/3)^2) = y-2+3*(5/3)^2
3(x-(5/3))^2 = y-2+(25/3)
3(x-(5/3))^2 = y+(19/3)
Vertex: ((5/3),(-19/3))
=================
Cheers,
Stan H.
(