Question

1. For each situation below, state the transformation(s) that occur betweenf(x) and g(x).f(x)g(x)Transformation(s)f(x)=4x+5g(x)=-4x+7Reflection across y-axis, andshift up 2 units.f(x)=1/3x-2g(x)=3(x+2)-2f(x)=-2/3x+16g(x)=23(x-3)-16f(x)=14(x-3)+1g(x)=7(x+ 2)+1

Answer 1

From the image given

For the first case

f(x) = 4x + 5

g(x)= -4x+7

f(x) was:

reflected across the y-axis and shifted up by 2 units

For the second case

f(x)=1/3x-2

g(x)=3(x+2)-2

f(x) was:

Rotated counterclockwise by 90 degrees and reflected over the y-axis

Shifted to the left by 2 units

For the third case

f(x)=-2/3x+16

g(x)=2/3(x-3)-16

f(x) was:

Reflected across the y-axis

shifted to the right by 3 units

shifted downward by 32 units