Answer:
- x-intercepts: -5, -1
- y-intercept: 2
- minimum: (-3, -4)
Step-by-step explanation:
The graph is attached.
The vertex of the absolute value function, its minimum, is located at (0, 0). Here, it has been translated left 3 units and down 4 units to (-3, -4). The slope of the lines of the parent function is 1. Here, the vertical scale factor of 2 means the curve rises twice as fast, so only takes 2 horizontal units in either direction from x=-3 to rise the 4 units from the minimum at y=-4 to intersect the x-axis. That is, the x-intercepts are -3-2 = -5, and -3+2 = -1.
In 1 more horizontal unit from x=-1 to the y-axis, the graph rises another 2 units to give a y-intercept of 2.
- The x-intercepts are (-5, 0) and (-1, 0)
- The y-intercept is (0, 2)
- The minimum of the function is (-3, -4)
