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julsineya [31]
2 years ago
7

20 POINTS PLEASE HELP Determine whether each figure has rotational symmetry, line symmetry, both, or neither.

Mathematics
2 answers:
ra1l [238]2 years ago
5 0
1. Both
2. Line
3. Line
4. Neither
alexgriva [62]2 years ago
4 0
1-rotational
2-rotational
3-rotational
4-neither

(I’m like 99% sure)
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Answer:

1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.

2. The +4 moves the function vertically 4 units upwards.

Step-by-step explanation:

We are given the function  f(x) = - |x| +4. We know that the function f(x) = |x| only has positive values, so when x>0 the function is a straight line as in the function f(x) = x. When x<0 the function is also positive, as in the function f(x) = -x. So the graph is V-shaped with the vertex at the origin.

The f(x) = - |x| +4 has two important caracteristics:

1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.

2. The +4 moves the function vertically 4 units upwards.

So the graph of f(x) = - |x| +4 will be V-shaped, reflected in the x-axis and moved 4 units upwards.

Attached you can find the graph

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