Hi there
The parent function is the following:

We need to translate the function 8 units left to get the function:

Therefore the answer is: 8 units left.
Answer:
P(x) =
- 7x² + 12
Step-by-step explanation:
Given zeros x = 2, x = - 2, x =
, x = - 
Then the factors are (x - 2), (x + 2), (x -
), (x +
)
and the polynomial is the product of the factors, that is
P(x) = (x - 2)(x + 2)(x -
)(x +
) ← expand in pairs using FOIL
= (x² - 4)(x² - 3) ← distribute
=
- 3x² - 4x² + 12 ← collect like terms
=
- 7x² + 12
Answer:
d = -12
Step-by-step explanation:
Add -8 -5 +7
take that number : -6
72 divided by -6 = -12
d = -12
Answer:
You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:
First, remember how the absolute value works:
IxI = x if x ≥ 0
IxI = -x if x ≤ 0
Then if we have something like:
IxI < B
We can rewrite this as
-B < x < B
Now let's answer the question, here we have the inequality:
I-k -2I < 18
Then we can rewrite this as:
-18 < (-k - 2) < 18
Now let's isolate k:
first, we can add 2 in the 3 parts of the inequality:
-18 + 2 < -k - 2 + 2 < 18 + 2
-16 < -k < 20
Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:
-1*-16 > -1*-k > -1*20
16 > k > -20
Then k can be any value between these two limits.
So the correct options (from the given ones) are:
k = -16
k = -8
k = 0