Write an equation for the translation of y = |x|. 10.5 units left
a. y = |x + 10.5|
b. y = |x – 10.5|
c. y = |x| – 10.5
d. y = |x| + 10.5

A.

Step-by-step explanation:

We are given that,

The parent function is .

Now, the parent function is shifted 10.5 units to the left.

So, the new function is given by .

Hence, option A is correct.

addition

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180