For the function f(x) = |2x-7| - 3 find f(2)
2 answers:
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Answer:
Step-by-step explanation:
You were right!
If we want to transform figure ABCD onto figure A'B'C'D', we need to note that no dilation/rotation/reflection is needed. They're just units apart.
Let's focus on a specific point, as when we move that the whole figure will too.
Let's do B/B'.
We can see that in figure ABCD, point B is at (1, -1). On A'B'C'D', point B' is at (-1, 3).
Lets first change the x values.
What we need to ask is - what's the distance from 1 to -1? We know that from 1 to 0 is 1 point and from 0 to -1 is another 1 point. So, 1+1 = 2. It's a 2 point difference to a smaller number. So we move left.
Same logic applies for y values. What's the difference from -1 to 3? From -1 to 0 is 1 unit, and from 0 to 3 is 3 units. So, the difference is 4 units upwards.
So, 2 units left and 4 units up.
Hope this helped!