Question

We can transform the black graph (f(x)) to match all of the graphs except for ONE.Which Graph can't we match? A BCDE

Answer 1

We cannot transform the black graph f(x) to match the green graph c.

In Mathematics and Geometry, a transformation is the movement of an end point from its initial position (pre-image) to a new location (image). This ultimately implies that, when a geometric figure or object is transformed, all of its points would also be transformed.

Generally speaking, there are three (3) main types of rigid transformation and these include the following:

1. Translations
2. Reflections
3. Rotations.

By critically observing the graph shown above, we can logically deduce that we cannot transform the black graph f(x) to match the green graph c because the black graph has a constant piece that is 3 units long to the right, while the green graph c has a constant piece that is 4 units long.

Answer 2

Recall that transformation does not change the shape of the graph of a function. It can only change the position or size of the graph of a function.

From the given options a to e;