Which of these could be the transformation? Choose all that are correct. A reflection across the line x = 1
A reflection across the line y = 1
A translation 2 units to the left, and then a reflection across the y -axis
A translation 2 units to the right, and then a reflection across the y -axis
A reflection across the y -axis, and then a translation 2 units to the right
A rotation of 180° about the point (1,4)

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

astronomers is your final answer! : )

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.