Which equation correctly applies the distributive property?
2 answers:
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<h3>Answer: Choice B</h3>
Reflection along y axis
Translation: which means we shift 3 units down
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Explanation:
Let's track point A to see how it could move to point A'.
If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.
The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation
Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively. Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.
Answer: New function is
Step-by-step explanation:
- A dilation is a transformation that creates an image using a scale factor that has the exactly same shape as the original, but have a different size.
The given function :
We know that any function y= f(x) will become y=k f(x) after dilation of k units on the x, where k= scale factor for dilation.
Here, the given scale factor = 2 i.e. k=2
Then, the new function will be :
Hence, the new function is
Using the equation 2x + y = 4, we get the following graph.
