We can use the vertex form of a quadratic,

, to find that

. Plugging

ordered pairs into g(x), we see that a = 1. For example, for

,

. Solving for a gives 1.
Answer:
Option (1) will be the answer.
Step-by-step explanation:
Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.
Slope of the line f,


After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,
Rule for dilation,
(x, y) → (kx, ky)
Where k = scale factor
A(0, 2) → A'(0, 4)
B(2, 0) → B'(4, 0)
Slope of line f',


Since, 
Therefore, both the lines f and f' will be parallel.
Option (1) will be the answer.
Answer:
3/7 is the smallest
Step-by-step explanation:
after we take the LCM of both the denominators and then compare their resulted numerator and denominator we get that 3/7 is the smallest
Answer: 33x=27 2x-1
33 x=3 3(2x-1)
as base are same so powers are equal
3x=3(2x-1)
3x=6x-3
3x-6x=-3
-3x=-3
x=1