Algebra

Function Graphs

Translating Graphs

         

The above graph is the result of parallel translation of y=x2.y = x^2. If this graph undergoes an additional translation of 55 in the positive direction of the xx-axis and an additional translation of 66 in the positive direction of the yy-axis, what is the equation of the resulting graph?

If the graph of the above circle with center (3,5)(3,5) and radius 44 undergoes a translation of 44 in the positive direction of the xx-axis and 55 in the positive direction of the yy axis, what is the equation of the resulting graph in quadratic form?

If the graph of y=8x280x38 y = -8 x^2 -80 x -38 undergoes a translation of 3-3 in the positive direction of the xx-axis and 33 in the positive direction of the yy-axis, what is the equation of the resulting graph?

If the above graph of y=9x3 y = 9 x^3 is the result of a parallel translation of the equation y=f(x)y=f(x) by 5- 5 in the positive direction of the xx-axis followed by a translation of 3- 3 in the positive direction of the yy-axis, what is the equation y=f(x)?y=f(x)?

If the graph of y=5(x5)2+7 y = 5 (x-5)^2 + 7 undergoes a translation of 33 in the positive direction of the xx axis and 1-1 in the positive direction of the yy-axis, what is the equation of the resulting graph?

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