Question

Which transformations, when performed together, would carry graph A onto

graph B? Choose all that apply.

Answer 1

X -axis sifted by +3 units and the Y-axis sifted by +2 units

Explanation:

There are two similar graphs of a function but only the coordinate axes shifted accordingly.

The coordinates of the point of symmetry are (0,0) in the first graph and that in the second graph are (-2,-3).

Therefore the X-axis sifted by +3 units and the Y-axis sifted by +2 units to obtain the second graph from the first one. So, this is the required transformation. (Answer)

Answer 2

A translation of 3 units down.

A translation of 2 units to the left.

Explanation:

We need to find the transformations which are performed together such that graph A onto graph B.

From graph A and graph B it is clear that the point (0,0) moves to point (-2,-3). It means the graph A translated 3 units down and 2 units to the left.

The rule of translation is

`(x,y)\rightarrow (x-2,y-3)`

Therefore, the required transformations are "A translation of 3 units down" and "A translation of 2 units to the left".