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31 votes
Below is the graph of y equation y=-|x-2|+3. Use this graph to find all values of x given each statement. a) -|x-2|+3>0 b) -|x-2|+3<0 c) -|x-2|+3=0

User Forsajt
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1 Answer

16 votes
16 votes

Answer:

The answer is C) - |x - 2| + 3 = 0

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.

User Space Cowboy
by
2.8k points
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