Question

Please help me graph this: | y - 1 | - | x | = -2, with steps on how to graph this.

a) Circle
b) Ellipse
c) Hyperbola
d) Parabola

Answer 1

To graph the equation | y - 1 | - | x | = -2, we will start by isolating y on one side. First, let's eliminate the absolute values by considering both positive and negative cases for each absolute value term. For the first absolute value term, we have two cases: Case 1: y - 1 = x - 2. Case 2: -(y - 1) = x - 2.

Step-by-step explanation:

To graph the equation | y - 1 | - | x | = -2, we will start by isolating y on one side. First, let's eliminate the absolute values by considering both positive and negative cases for each absolute value term.

For the first absolute value term, we have two cases:

1. Case 1: y - 1 = x - 2. Solve this equation for y to get y = x - 1.
2. Case 2: -(y - 1) = x - 2. Solve this equation for y to get y = -x + 3.

Therefore, we have two linear equations: y = x - 1 and y = -x + 3. Now, we can graph these two lines and label them as Case 1 and Case 2 respectively. The graph will consist of two intersecting lines.