Algebra 2 radicals rationals question

Question

Write the equation of the graph that translates y=1/x 3 units left, 2 units up, and is reflected over the x-axis

Answer 1

Sam, the original equation is y = 1/x. Therefore to:

1. Move 3 units left means changing the x to (x+3); y = 1/(x+3)
2. Move 2 units up means add + 2 to the equation; y = (1/(x+3)) + 2
3. Reflected over the x-axis means to multiply the entire function by (-1); y = -(1/(x+3)) - 2

Let me know if you have additional questions.

-TutorB

Answer 2

Sam

Starting with y=1/x

Translate to the left 3 units replace x by x+3

y=1/(x+3) translate 2 units up replace y by y-2

y-2=1/(x-3) simplify y=1/(x-3) +2

reflected in the x axis replace y by -y

y=-1/(x-3)-2

Regards

Jim