Question

Consider the function. f(x)=2x-6 match each transformation of f(x) with its description. compresses f(x) by a factor of toward the y-axis arrowright shifts f(x) 4 units right arrowright shifts f(x) 4 units down arrowright stretches f(x) by a factor of 4 away from the x-axis arrowright ( g(x)=8x-4,g(x)=2x-10, g(x)=8x-24, g(x)=2x-2, g(x)=8x-6, g(x)=2x-14 )

Answer 1

To compress f(x) by a factor of 4 towards the y-axis, the transformation is g(x) = 8x - 24. To shift f(x) 4 units right, the transformation is g(x) = 2x - 2. To stretch f(x) by a factor of 4 away from the x-axis, the transformation is g(x) = 8x - 6.

Step-by-step explanation:

The transformation that compresses f(x) by a factor of 4 towards the y-axis is g(x) = 8x - 24.

The transformation that shifts f(x) 4 units to the right is g(x) = 2x - 2.

The transformation that stretches f(x) by a factor of 4 away from the x-axis is g(x) = 8x - 6.