Answer:
Step-by-step explanation:
A vertical stretch by a factor of k means that the point (x, y) on the graph of f (x) is transformed to the point (x, ky) on the graph of g(x), where k <1.
If k =1, then same graph we obtain and if k>1 we get a vertically shrink graph.
In our question, there is a vertical stretch of 3. This means new graph would have points as (x,y/3)
i.e. instead of f(x) = y, we have now f(x) = y/3
So transformation is g(x) = 3f(x)
Option A is correct.
2) Here f(x) = 3x+8 is transformed to g(x) =3x+6
i.e. y intercept is reduced by 2 units. Hence there is a translation of 2 units down.
Going off the idea that this is 4/(y+2) - 9/(y-2) = 9/(y^2-4), let's first rewrite y^2-4 in the form of a^2-b^2, where a=y and b=2.
y/(y+2)-9/(y-2)=9/(y^2-2^2)
Now, use difference of squares: a^2-b^2=(a+b)(a-b)
4/(y+2)-9/(y-2)=9/((y+2)(y-2))
Multiply both sides by the Least Common Denominator: (y+2)(y-2)
4(y-2)-9(y+2)=9
Then keep on simplifying until you get your answer
-5y-26=9
-5y=9+26
-5y=35
y=35/-5
y=-7
Yay! Our answer is y=-7!
The ratio would be 4:6 because there are 6 number in total and 4 of them are odd numbers.
Answer:C
Step-by-step explanation:
your answer is 390
First area of the rectangle which formula is bxh base time height.
that gives you 300 since 15x20=300
The for the triangle Formula is Basexheight deivded by 2
so 15x12 devided by 2 =90
300+90=390
Hope this helps you. :)
Answer:
- 5 (x = 1)
Step-by-step explanation:
When x equals 1, it fits in the piece where x < 3. The equation for that interval is -x - 4. We can substitute 1 into that equation to get:
- 1 - 4
- 5
