Question

Consider the graph of function g below. A diagonal curve declines from (negative 3, 8), (negative 2, 5), (negative 1, 2), (0, negative 1), (1, negative 4), (2, negative 7), and (3, 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 of g. shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3 shift left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3 reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit shift right 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3 shift down 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3 reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit

Answer 1

The option first “shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3” is correct.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a function f(x) = x

The above function represents a linear function.

As we can see in the graph of a function g(x)

f(x) = x

First shift right 1 unit

f(x) = x -1

Then reflect over y-axis

f(x) = -x - 1

Then stretch by a factor of 3

f(x) = -3x - 1

Thus, the option first “shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3” is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

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