Question

Lucy draws a line with the equation y=3x+2%0D%0A𝑦%0D%0A=%0D%0A3%0D%0A𝑥%0D%0A+%0D%0A2%0D%0A. She translates the line by shifting it one unit to the right and two units up. Which is the equation of the new line?(1 point)%0D%0AResponses%0D%0A%0D%0Ay=3x+1%0D%0A𝑦%0D%0A=%0D%0A3%0D%0A𝑥%0D%0A+%0D%0A1%0D%0Ay equals 3 x plus 1%0D%0A%0D%0Ay=4x+2%0D%0A𝑦%0D%0A=%0D%0A4%0D%0A𝑥%0D%0A+%0D%0A2%0D%0Ay equals 4 x plus 2%0D%0A%0D%0Ay=3x−1%0D%0A𝑦%0D%0A=%0D%0A3%0D%0A𝑥%0D%0A−%0D%0A1%0D%0Ay equals 3 x minus 1%0D%0A%0D%0Ay=5x+3

Answer 1

When you shift right 1, replace x with (x − 1). When you shift up 2, replace y with (y − 2). So

y − 2 = 3(x − 1) + 2 = 3x − 1

hence y = 3x + 1.

Answer: y = 3x + 1.