help please

Question

below is y=f(x) draw the graph of y=|f(x)|

 

Answer 1

Obserev the graph,

The x - intercept : a = - 1 and the y - intercept : b = - 1.

The intercep - form of a line equation : (x/a) + (y/b) = 1, where a is x intercept and b is y - intercept.

The line equation is x/(- 1) + y/(- 1) = 1

- x - y = 1

y = - x - 1.

The function y = f(x) = - x - 1.

So, the absolute value function y = | f(x) | = | - x - 1|.

Choose values for x  and find the corresponding values for y.

x	y = | - x - 1|	(x, y)
- 4	y = | - (- 4) - 1| = | 4 - 1 | = | 3 | = 3	(- 4, 3)
- 3	y = | - (- 23) - 1| = | 3 - 1 | = | 2 | = 2	(- 3, 2)
- 2	y = | - (- 2) - 1| = | 2 - 1 | = | 1 | = 1	(- 2, 1)
- 1	y = | - (- 1) - 1| = | 1 - 1 | = | 0 | = 0	(- 1, 0)
0	y = | - 0 - 1| = | - 1 | = 1	(0, 1)
1	y = | - 1 - 1| = | - 2 | = 2	(1, 2)
2	y = | - 2 - 1| = | - 3 | = 3	(2, 3)

1.Draw a coordinate plane.

2.Plot the coordinate points.

3.Then sketch the graph, connecting the points with a smooth line.

Graph :