Answer:
The translation rule is described by
.
Step-by-step explanation:
According to Linear Algebra, a translation consists in sum a given vector (original point in this case) with another vector (translation vector). We can define translation as follows:
(Eq. 1)
Where:
- Original vector with respect to origin, dimensionless.
- Translated vector with respect to origin, dimensionless.
- Translation vector with respect to original vector, dimensionless.
From (Eq. 1) we get that translation vector is:
![U(x,y) = D'(x,y)-D(x,y)](https://tex.z-dn.net/?f=U%28x%2Cy%29%20%3D%20D%27%28x%2Cy%29-D%28x%2Cy%29)
If we know that
and
, then the translation vector is:
![U(x,y) = (2,5)-(7,-3)](https://tex.z-dn.net/?f=U%28x%2Cy%29%20%3D%20%282%2C5%29-%287%2C-3%29)
![U(x,y) = (-5,8)](https://tex.z-dn.net/?f=U%28x%2Cy%29%20%3D%20%28-5%2C8%29)
And we find the translation rule by assuming that
and
in (Eq. 1):
![D'(x,y) = (x,y)+(-5,8)](https://tex.z-dn.net/?f=D%27%28x%2Cy%29%20%3D%20%28x%2Cy%29%2B%28-5%2C8%29)
![D'(x,y) =(x-5,y+8)](https://tex.z-dn.net/?f=D%27%28x%2Cy%29%20%3D%28x-5%2Cy%2B8%29)
The translation rule is described by
.
To vertically strech a function, f(x) by a factor of c, that is cf(x)
so strech vertically by 2 means times whole thing by 2
so
2 times (4x^2-5) =8x^2-10
g(x)=8x^2-10
Answer:
sss
Step-by-step explanation:
Answer:
The Numbers with no Variable (x,y) and an additive sign are the correct additive inverse
Step-by-step explanation:
Im sure this is correct its been a year since ive learned this i tried my best to remember <3