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seraphim [82]
2 years ago
13

What is the solution to -2|x − 1| = -4? A. x = 3 B. x = -1 or x = 3 C. x = 1 or x = 3 D. No solutions exist.

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
4 0

Answer:

B

Step-by-step explanation:

-2|x - 1| = -4

|x - 1| = 2

since we are dealing with a function that brings 2 values to the same result, the reverse function (needed to find the values of x that create the result y) has 2 branches :

(x - 1) = 2

and

(x - 1) = -2

x - 1 = 2

x = 3

x - 1 = -2

x = -1

therefore, B is the right answer.

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Which phrase best descubes the translation from the graph y = (x - 5)2 + 7 to the graph of y = (x + 1)2 - 2?
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Answer:

"6 units left and 9 units down"

Step-by-step explanation:

Suppose a function is given in this form:

y=(x-a)^2+b

This is the parent function y = x^2

  • translated a units right (left if there was a + before a)
  • translated b units up (down if there was a - before b)

Now, to go from  y=(x-5)^2+7  to  y= (x+1)^2-2 , we can see that:

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