To graph the equation |x - 3| = 2, you can follow these steps:

1. Understand the absolute value: The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, |x - 3| = 2 means that the distance between x and 3 is 2 units.

2. Solve for x: This gives us two equations, x - 3 = 2 and x - 3 = -2. Solving these gives x = 5 and x = 1.

3. Plot the points: On a number line or coordinate plane, plot the points (1, 0) and (5, 0).

4. Draw the graph: Since this is an absolute value equation, the graph will be V-shaped. The point at the bottom of the 'V' is (3, 0), and the 'V' passes through the points (1, 0) and (5, 0).

Remember, the graph of an absolute value equation will always be 'V' or 'U' shaped, and the vertex of the 'V' or 'U' is the value inside the absolute value when it is set to zero. In this case, when x - 3 = 0, x = 3, so the vertex is at (3, 0).

Question

To graph the equation |x - 3| = 2, you can follow these steps:

1. Understand the absolute value: The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, |x - 3| = 2 means that the distance between x and 3 is 2 units.

2. Solve for x: This gives us two equations, x - 3 = 2 and x - 3 = -2. Solving these gives x = 5 and x = 1.

3. Plot the points: On a number line or coordinate plane, plot the points (1, 0) and (5, 0).

4. Draw the graph: Since this is an absolute value equation, the graph will be V-shaped. The point at the bottom of the 'V' is (3, 0), and the 'V' passes through the points (1, 0) and (5, 0).

Remember, the graph of an absolute value equation will always be 'V' or 'U' shaped, and the vertex of the 'V' or 'U' is the value inside the absolute value when it is set to zero. In this case, when x - 3 = 0, x = 3, so the vertex is at (3, 0).

Knowee AI · Accepted Answer

To graph the equation |x - 3| = 2, you can follow these steps:

1. Understand the absolute value: The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, |x - 3| = 2 means that the distance between x and 3 is 2 units.

2. Solve for x: This gives us two equations, x - 3 = 2 and x - 3 = -2. Solving these gives x = 5 and x = 1.

3. Plot the points: On a number line or coordinate plane, plot the points (1, 0) and (5, 0).

4. Draw the graph: Since this is an absolute value equation, the graph will be V-shaped. The point at the bottom of the 'V' is (3, 0), and the 'V' passes through the points (1, 0) and (5, 0).

Remember, the graph of an absolute value equation will always be 'V' or 'U' shaped, and the vertex of the 'V' or 'U' is the value inside the absolute value when it is set to zero. In this case, when x - 3 = 0, x = 3, so the vertex is at (3, 0).

how can I graph something like absolute value of (x-3)= 2where the left side is an absolute value but right side isn't.Would I say: let x -3= y1and let 2=y2

Question

How can I graph something like $|x - 3| = 2$ where the left side is an absolute value but the right side isn't. Would I say: let $x - 3 = y_1$ and let $2 = y_2$ ?

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