Hi my friends,
Please explain why the turning point for the following equation, is (1;5)
Thank you all..
This is the equation of a bowl shaped parabola with vertex 1/2 , 5 which is the turning point ..... NOT (1,5)
(2x-1)^2 + 5 can be re-written
4(x-1/2)^2 + 5
This is the parabola \(y=(2x-1)^2\) that has been lifted up 5 units.
\(y=(2x-1)^2\) is the PARENT equation.
Since the PARENT equation has a double root, that means that the root is the vertex.
The turning point of the PARENT parabola is
So the vertex of the parent equation is (0.5,0)
and the vertex of your equation is 5 units higher, that is (0.5,5)
oooohhhh I see,
gosh Melody, thank you very much for .."dismanteling" the whole thing for me...you always go the extra mile!!..I can really see your passion in helping others!!!..