Write the expression for when you translate the graph of y = |2x|−1 a) one unit up, b) one unit down, c) one unit to the left, d) one unit to the right.

Answers

Answer 1

A) y=|2x|
B) y=|2x|-2
C) y=|2x+1|-1
D) y=|2x-1|-1

Answer 2

The expression for when you translate the graph of y=|2x|−1 is y= |2x-2|-1.

What is an expression?

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. A function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

We are given that;

y = |2x|−1

Now,

To write the expression for when you translate the graph of y = |2x| - 1, we need to use the rules for vertical and horizontal shifts. The rules are:

To shift the graph up or down by k units, add or subtract k to the original function.

To shift the graph left or right by h units, add or subtract h to the input variable.

Using these rules, we can write the expressions for each translation as follows:

a) One unit up: y = |2x| - 1 + 1 y = |2x|

b) One unit down: y = |2x| - 1 - 1 y = |2x| - 2

c) One unit to the left: y = |2(x + 1)| - 1 y = |2x + 2| - 1

d) One unit to the right: y = |2(x - 1)| - 1 y = |2x - 2| - 1

Therefore, by the expression the answer will be y = |2x - 2| - 1.

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Step-by-step explanation:

The correct or incorrect simulation of this scenario is shown below.

What is Probability?

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The degree to which something is likely to happen is basically what probability means.

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