Find the coordinates of the vertex of y = 2x 2

Find the coordinates of the vertex of
y = 2x 2 − 4x + 1.
(A) (−1, 1)
(B) (1, −1)
(C) (1, 1)
(D) None of the above
How many x-intercepts does the parabola
y = 2x 2 − 4x + 1 have?
(A) 2
(B) 1
(C) 0
(D) None of the above
Suppose the vertex of a parabola is at (1, 0) and
the leading coefficient in its formula is 2. Then
which of the statements below is true?
(A) This parabola can be obtained from y = x 2 by a horizontal
shift right of 1 unit.
(B) This parabola can be obtained from y = 2x 2 by a horizontal
shift left of 1 unit.
(C) This parabola can be obtained from y = −2x 2 by a horizontal
shift right of 1 unit.
(D) None of the above
Key
1(B), 2(A), 3(D)