Answer:
"A translation of 7 units to the left followed by a translation of 1 unit down".
Step-by-step explanation:
There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.
Suppose that we have the point (a, b) which is transformed into (a', b')
Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.
(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).
Here we have the point A (3, 4) transformed into (-4, 3)
Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.
Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.
Then we can write this transformation as:
"A translation of 7 units to the left followed by a translation of 1 unit down".
If you sum these two numbers up, you get 2n + 1. 2n will always give you an even number. Adding a 1 to any even number will always give you an odd. Therefore, a sum of any pair of consecutive numbers is always odd.
Example, 4 + 5 = 9; –8 + (–7) = –15.
Answer:
1 solution
Step-by-step explanation:
A system of linear equations has no solution when the graphs are parallel.
Answer: Focus = (-2, 3)
<u>Step-by-step explanation:</u>
First let's find the vertex. We do that by finding the Axis-Of-Symmetry:
Then finding the maximum by inputting x = -2 into the given equation:
The vertex is: (-2, 4)
Now let's find p, which is the distance from the vertex to the focus:
The vertex is (-2, 4) and p = -1
The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)
136 + x = 189
-136 -136
x = 53
Arthur must earn $53 in the next week to buy the new coat.
