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It is impossible to answer the question without specific knowledge of the function and the nature of the translation.
It could be simply a vertical translation by 6 units but it could also be a horizontal translation by some amount (insufficient information to say how much), or a mixture of the two (again not enough info).
The starting point on the y-axis changes from -2 to 6.
On a 2 dimensional graph, the Y value is the same in each point on a horizontal line. The X value, however, changes. For example, the line Y=7 is an horizontal line; The Y value for every point on the line is 7, yet the X value changes. It is worth pointing out that the line will be straight.
You can graph X -4 2 and slope 3 2 by first finding the values of X and Y and then using those values to sketch your graph.
It is the graph of a quadratic equation of the formy = ax^2 + bx + c
The graph must have at least one intercept.