From the given the option moved left 1 unit; reflected across the x axis is the correct.
what is function?
A function from a set X to a set Y in mathematics assigns each element of X exactly one element of Y. The set X is known as the function's domain, and the set Y is known as the function's codomain.
We have to describe the position of the function 
relative to the basic function 
.
Let the parent function is .
After shifting one unit right it becomes, 
.
After reflection in x axis it becomes, 
.
Hence, from the given the option moved left 1 unit; reflected across the x axis is the correct.
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Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
Answer:
-3(x + 2)(5x - 3)
Step-by-step explanation:
-15x² – 21x + 18
-3(5x² + 7x - 6)
-3[5x² + 10x - 3x - 6]
-3[5x(x + 2) - 3(x + 2)]
-3(x + 2)(5x - 3)
Answer:
x = 2
x = -3/2 or -1.5
Step-by-step explanation:
For this, I would use the "slip and slide" method. LOL I know the name is cheesy, but that's what my teacher called it!
First, you "slip" the coefficent of the leading term (2) to the constant, and multiply.
The equation becomes:
x² - x - 6(2) = 0
x² - x - 12 = 0
Then, you factor this out by looking at the second and third terms. You're looking for 2 factors of -12 that would add up to -1 ( the coefficent of the second term).
Automatically, think of 3 and 4, because the difference between them is 1.
The factors must be (x-4) and (x+3) because they multiple to -12, and add up to -1.
This step is extremely important! Lol I used to forget it a lot, but make sure you divide the constant in each factor by the original number you "slipped".
It would become (x-(4/2))(x+3/2) = (x-2)(x+3/2)
With (x+3/2), you don't want to leave it as a fraction or decimal. It's equivalent to (2x+3). However, the informal form is easier to identify the value of x.
The answer is 4.14 hoped that helped
