What is the equation for the translation of x2 + y2 = 25 two units to the left and four units down? (x – 2)2 + (y – 4)2 = 25 (x
2 answers:
Answer:
D.
Step-by-step explanation:
We have been given an equation . We are asked to find the equation after a translation of two units to the left and four units down.
We know that translation of two units to the left is horizontal shifting, so we need to shift the x-coordinate to left by 2 units as:
Since the translation by four units down refers to vertical shifting, so we will shift the y-coordinates of our given equation upwards by 4 units as:
Therefore, option D is the correct choice.
You might be interested in
You can make some algebraic equations and solve it.
The first would be:
The second would be
You can then rearrange the second into
And subsitute it into the first like so:
After that, distribute the y into the parantheses.
Subtract the 21 on both sides and multiply by -1 on both sides:
You then can factor it into:
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.
Thus, the answer is 7 and -3.
The first would be:
The second would be
You can then rearrange the second into
And subsitute it into the first like so:
After that, distribute the y into the parantheses.
Subtract the 21 on both sides and multiply by -1 on both sides:
You then can factor it into:
With Zero Product Property, we can determine y to be either -3 and 7. Since the variables are interchangable, you can say the same about x, just that whatever x is, y must be the other value.
Thus, the answer is 7 and -3.