To solve this problem you must apply the proccedure showb below:
1. You have the following equation:
<span> 2x^2+9y^2=18
2. Dividing the equation by 18, you have:
(x^2/9)+(y^2/2)=1
3. The center is:
[</span>(x-0)^2/9]3^2[(y-0)^2/√2]=1
<span>
(h,k)=(0,0)
The center is (0,0)
4. The vertices are:
a^2=9
a=3
Vertices: (-3,0) and (3,0)
5. The foci is:
c^2=a^2-b^2
c=</span>√7
<span>
The foci is: (-</span>√7,0) and (√7,0)
Using translation concepts, we have that:
- The slope of A"D" is of 3.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
When the function is translated down, the <u>slope remains constant</u>, while when the function is reflected over the y-axis, the<u> slope is multiplied by -1</u>, hence both lines will have a slope of 3, and since they have the <u>same slope</u>, they are parallel.
More can be learned about translation concepts at brainly.com/question/4521517
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