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Graph the equation y equals 2x plus 1?
So, if we see the basic equation y=mx+b, we see that m=2, and b=1. If you look closely, this is basic rotation and translation of the original graph. First, I would translate the "mother graph" (y=mx) and then translate one up. Then, we would rotate the graph to the right two units.
How do you know if the translation of a graph is vertical or horizontal?
The translation is vertical if the added term is outside the main function and horizontal if it is inside it, next to the x. For example, y = x^2 represents a parabola, with its lowest point at (0,0). If we have the equation y = x^2 + 2 then we have translated the parabola up two units -- its lowest point is now x = 0, y = 2. But if we write y = (x + 2)^2, then we are translating two units to the left, and the lowest point is x = -2, y = 0.
If y12x-2 were changed to y12x how would the graph of the new function compare to the original?
The graph would be translated upwards by 2 units.
How is an ordered pair related to the coordinates on a graph?
The ordered pair IS the coordinates on the graph. If you have the ordered pair (1,2) that means the value of x is 1 and the value of y is 2, so to get to that point on a graph from the origin (center) you would move right 1 unit and up 2 units.
What is a translation in quadratics?
Translation is moving a graph to the left or right, up or down (or both). Given a quadratic equation of the form y = ax^2 + bx + c, if you substitute u = x - p and v = y - q then the graph of v against u will be the same as the x-y graph, translated to the left by p and downwards by q.
