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Answer:

Step-by-step explanation:
For
, there are two possible cases:

Solving for both cases, we get:

Answer:
B
Step-by-step explanation:
Given
y² - 12y + 32
Consider the factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)
The factors are - 4 and - 8, since
- 4 × - 8 = 32 and - 4 - 8 = - 12, thus
y² - 12y + 32 = (y - 4)(y - 8) → B
Answer:
yaaa
Step-by-step explanation:
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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