Which image is the translation of angle abc given by the translation rule (x, y)->(x-2, y+2)
1 answer:
Answer:
This figure (c) is the correct figure which is attached below as the figure is being translated to 2 units i.e. moving 2 units to the right (x-axis) and 2 units down in the direction of y axis down (y-axis).
Step-by-step explanation:
<em>Note: As you have unintentionally missed to attach the image figures. After a little research I am attaching all the figures that you probably had to attach here. So, I an answering based on the reference of these figures. Anyhow, hopefully, it may clear your concept about the translation of any figure.</em>
Solution:
In mathematics, translation is regarded as a term which generally expresses a function, being able to move an image, object or figure a certain distance.
As the rule of the translation is mentioned as (x, y) ⇒ (x+2, y-2)
It means the figure is being translated to 2 units i.e. moving 2 units to the right (x-axis) and 2 units down in the direction of y axis down (y-axis).
So, this figure (c) is the correct figure which is attached below.
Keywords: translation
Learn more about translation from brainly.com/question/10929103
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(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y
= y
Answer for (a):
=
(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y:
Answer for (b):
= 
(c)
replace all t's in the equation with
= 
=
= 
= 
Answer for (c):
= 
(d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1
(e)
h(g(t)) = 8t - 1
y = 8 t - 1
t = 8y - 1
t + 1 = 8y
= y
Answer for (e): inverse of h(g(t)) =
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y
Answer for (a):
(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y:
Answer for (b):
(c)
replace all t's in the
=
Answer for (c):
(d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1
(e)
h(g(t)) = 8t - 1
y = 8 t - 1
t = 8y - 1
t + 1 = 8y
Answer for (e): inverse of h(g(t)) =