Answer:
The axis of symmetry is the line x=1, , and the vertex is the point (1, -1).
Step-by-step explanation:
The standard form of a quadratic function is y= ax^2 + bx + c The formula for finding the equation of the axis of symmetry is x= -b/2a The x-coordinate of the vertex is also -b/2a and the y-coordinate of the vertex is given by substituting the x-coordinate of the vertex into the original function.
For y= 2x^2 - 4x +1, a= 2,b= -4, and c=1
The axis of symmetry is:
x= -1 ⋅ -4/ 2⋅2
x=4/4
x=1
The x-coordinate of the vertex is also 1. The y-coordinate of the vertex is found by:
y= 2(1)^2 -4(1)+1
y=2(1) -4+1
y=2-3
y= -1
So, the vertex is the point (1, -1).
Hope this helps please let me know if I'm wrong.
