Function questionread the graph then solve
1 answer:
Answer:
- g(5x) = 0
- x = -10
Step-by-step explanation:
Do what your instructions say: read the graph and solve.
1. In order to find x, you look for the point where g(x) is 4. That point is found where x = -2. (See the first attachment.)
Then 5x = 5·(-2) = -10. To answer the question, you need to find the value of g(-10). Look where the graph crosses the vertical line at x=-10. It is at y=0, so ...
... g(5x) = g(-10) = 0
2. You already found the answer to this when looking for the answer to the first question. g(x) = 0 when x = -10. (See the second attachment.)
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Here is my process for solving this.
First I drew arrows that indicated I was moving the whole triangle 5 units to the left.
*Look at first attachment*
Then I drew another triangle using those new points. (The new triangle is in pink)
*Look at second attachment*
Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)
*Look at third attachment*
Then I drew the new triangle in blue using the new points.
*Look at fourth attachment*
Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.
*Look at fifth attachment*
The fifth attachment in green is the final product! Hope that helps.
