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How to draw the image of y = Log1 / 3 | x |?
First draw the image of y = Log1 / 3 X
Then, because this function is even, turn over the graph on the right with the Y axis as the symmetry axis
How to draw the image of y = Log1 / 3 | X-2 |
If a point on the graph x + y intersects with the triangle axis m, y = 3
There are four solutions, I have two solutions not worked out
When y = 0, x = - 3 / 2; when x = 0, y = 3
A(-3/2,0);B(0,3)
Let m (a, 0)
AB²=(3/2)²+3²=45/4
AM²=(a+3/2)²
BM²=a²+3²
If am = AB, then:
(a+3/2)²=45/4
The solution is: a = - 3 / 2 ± 3 / 2 √ 5
If BM = AB, then:
a²+3²=45/4
The solution is a = ± 3 / 2
If am = BM, then:
(a+3/2)²=a²+3²
The solution is a = 9 / 4
5 solutions: m (- 3 / 2-3 / 2 √ 5,0); m (- 3 / 2 + 3 / 2 √ 5,0); m (- 3 / 2,0); m (3 / 2,0); m (9 / 4,0)
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