Answer:
1.526
Step-by-step explanation:
12-2x-9x-2 = 4+8x-32
-11x+10 = 8x-28
-19x = -29
x = 1.526
The graph of g(x) is shifted 4 units up ⇒ answer a
Step-by-step explanation:
Let us revise the translation
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ The parent function f(x) = x
∵ g (x) = x + 4
- Substitute x in g(x) by f(x)
∴ g(x) = f(x) + 4
- g(x) is f(x) add by 4
- by using the rule of translation above
∵ g(x) = f(x) + k
∵ k = 4
∴ g(x) is the image of f(x) after translation 4 units up
∴ The graph of g(x) is 4 units above the graph of f(x)
The graph of g(x) is shifted 4 units up
Learn more:
You can learn more about translation in brainly.com/question/2451812
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Answer:
B) (4, 0)
C) (0, -1)
E) (2, 3)
Step-by-step explanation:
If we see the rule of function then it says that,
a function is a special relationship where each input, x, has a single output, y.
It means that for every value of x there SHOULD be a different value of y.
A)
(-3,-2) Rejected
because when x = 3, y = -2
D)
(1, 6) Rejected
because when x = 0, y = 6
F)
(-5, 9) Rejected
because when x = 4, y = 9
To make the pattern it only uses a horizontal translation and a 180 rotation, so the second one.
Hope this helps.
