Question

Write the expression for when you translate the graph of y = |3x− 5| one unit to the right. Plzz help

Answer 1

y=|3x-6|

Explanation:

on unit to the right is -1 inside the absolute value bracket so it would be y=|3x-5-1| which simplifies to y=|3x-6|

Answer 2

2<x<4/3

Explanation:

Given the equation of a graph to be y = |3x− 5|, if the equation is one unit to the right, this can be expressed as |3x-5| > 1.

Solving the resulting equation

|3x-5| > 1.

Since the function 3x-5 is in a modulus sign, this means that the function can take both negative and positive values.

For positive value of the function;

+(3x-5) > 1

3x > 1+5

3x>6

x>6/3

x>2 ... (1)

For the negative value of the function;

-(3x-5) > 1

On expansion

-3x+5 > 1

-3x > 1-5

-3x > -4

Multiplying through by -1 will also change the inequality sign

x < -4/-3

x < 4/3...(2)

Combining equation 1 and 2, we have;

2<x<4/3