Step-by-step explanation:
This is in standard form. Let's convert it into vertex form.
y = a(x-h)^2+k
y=2(x−2)^2+1
The vertex is (h,k).
Vertex: (2,1)
Horizontal translation:
The parent function of a parabola is y=x^2.
The new function is y=2x^2-8x+9
The horizontal shift = right 2 units.
The vertical shift: up 1 units
Axis of symmetry equation: x=h
x=2
The axis of symmetry is x=2.
Min, man value calc:
x=-b/2a
(2,1)
The min, max value is (2,1)
This is stretched. (2)
The direction is up (a>1).
The y-intercept is (0,9)
