Consider the graph given below.

Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above.

Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6

Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units

Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2

Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units

Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2

Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2

check the picture below.

from the original blue line, it went to the green, then to the red one and then it ended on the purple one.

shifted by 3 units to the right.

reflected over the y-axis.

stretched vertically by a factor of 2.

or

you can also

reflect over the y-axis

stretch it by a factor of 2

and shift it upwards by 6 units, that'll have the same effect.

or rearrange the first set,

shift by 3 units first

reflect over the y-axis

and then stretch by a factor of 2.

is pretty much the same steps just rearranged.

topeadeniran2 topeadeniran2 · Answer 2 · 2022-06-01T17:03:43+02:00

The sequence of transformations could be applied to the parent function, f(x) = x, to obtain the graph is E. Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2.

Want is transformation?

It should be noted that transformation simply means the movement of an object from a position to another position.

In this case, the sequence of transformations could be applied to the parent function, f(x) = x, to obtain the graph is to shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2.

Learn more about transformation on:

https://brainly.com/question/4289712

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