Consider the graph given below. A diagonal curve declines from (negative 2, 10), (0, 6), (1, 4), (2, 2), (3, 0), (4, negative 2), (5, negative 4), (6, negative 6), (7, negative 8),and (8, negative 10) on an x y coordinate plane. Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above.
1 Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6
2Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift right 3 units,
3 reflect over the y-axis, and then vertically stretch by a factor of 2
4 Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift left 3 units,
5 reflect over the y-axis, and then vertically stretch by a factor of 2
6 Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2

Consider the graph given below A diagonal curve declines from negative 2 10 0 6 1 4 2 2 3 0 4 negative 2 5 negative 4 6 negative 6 7 negative 8and 8 negative 10 class=

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The option second "Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units" is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have given parent function:

f(x) = x

After drawing it on the coordinate plane.

The transformed function will be:

y = -2x + 6

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

Thus, the option second "Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units" is correct.

Learn more about the function here:

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