Graph y = |x| – 2.
(1 point)
Responses
The graph of y equals the absolute value of x shifted 2 units to the left.
Image with alt text: The graph of y equals the absolute value of x shifted 2 units to the left.
The graph of y equals the absolute value of x shifted 2 units up.
Image with alt text: The graph of y equals the absolute value of x shifted 2 units up.
The graph of y equals the absolute value of x shifted 2 units down.
Image with alt text: The graph of y equals the absolute value of x shifted 2 units down.
The graph of y equals the absolute value of x shifted 2 units to the left and reflected on the x axis to open downwards.
Image with alt text: The graph of y equals the absolute value of x shifted 2 units to the left and reflected on the x axis to open downwards.
liar
I apologize if my response was not accurate or clear. Let me clarify the correct response:
The graph of y = |x| - 2 is obtained by taking the absolute value of x and then shifting the resulting graph 2 units downward. The graph will open upwards because the absolute value function always produces a V shape.
To graph the equation y = |x| - 2, you can follow these steps:
1. Start by drawing the coordinate axes, representing the x-axis and y-axis.
2. The equation y = |x| - 2 consists of two parts: the absolute value of x and subtracting 2.
3. Begin with the absolute value of x, which means that the value of y is always positive or zero. To represent this on the graph, draw a "V" shape that opens upwards and passes through the origin (0, 0). This represents the graph of y = |x|.
4. Now, consider the "- 2" part of the equation. This means that the graph is shifted vertically downwards by two units. To incorporate this shift, move the entire "V" shape two units downwards. This will result in the vertex of the "V" shape positioned at (0, -2).
5. Connect the two arms of the "V" shape with a straight line on either side of the vertex. This represents the graph of y = |x| - 2.
The resulting graph will be a "V" shape opened upwards with the vertex at (0, -2).