Answer:
The answer is C) - |x - 2| + 3 = 0
Step-by-step explanation:
a) - |x - 2| + 3 > 0
The greater than means something above the graph.
b) - |x - 2| + 3 < 0
The less than means something below the graph.
c) - |x - 2| + 3 = 0
The zero doesn't do anything.
y = - a |x - h| + k = 0
(h,k) is the origin.
h is shift left/right, h = 2 so shift right 2.
k is shift up/down, k = 3 so shift up 3.
The a, affects the y-values which cause the graph to reflect across the x-axis.
To start, we're given the range that x lies in: from -1 to 4. We know from the fact that

that -1 will be <em /><em>included</em> in that range, so we mark -1 on the number line with a solid circle. We also know from

that, while x can be any value <em>up to</em> 4, it does not <em>include </em>4. We indicate this by drawing a hollow circle around 4 on the number line. Since x can be <em>any value within this range</em>, we make that fact clear by drawing a bold line between the points -1 and 4 on the number line. I've attached an image of what our final graph would look like.
To get the volume of an object, one of the oldest techniques is to fill a container with water of which we know the volume (in this case 85mL), and drop the object in. The water will rise and show a new volume (225mL). If we subtract the old volume (85) from the new volume (225), we will get the volume of the object (225 - 85 = 140).