The "parent function" is y = (log to the base 2 of) x
The domain of this function is (0, infinity) (all real numbers greater than zero).
The range of this function is the same as above.
If you replace "x" with "x+1" in the parent function, the associated graph will look the same as that of the given function, EXCEPT that it will be translated by 1 unit to the left.
After this has happened, that "-3" will shift the entire new graph downward by 3 units.
ANSWER
m < -2
EXPLANATION
We want to find the solution set for m in:

First, collect like terms:

Now, divide both sides by -3. When you divide an inequality by a negative number, <em>the sign changes direction</em>:

This means that all values of m must be less than -2.
<em>None of the options contains the correct solution set.</em>
Answer:
Parallel line:

Perpendicular line:

Step-by-step explanation:
we are given equation 4x+5y=19
Firstly, we will solve for y

we can change it into y=mx+b form


so,

Parallel line:
we know that slope of two parallel lines are always same
so,

Let's assume parallel line passes through (1,1)
now, we can find equation of line

we can plug values

now, we can solve for y

Perpendicular line:
we know that slope of perpendicular line is -1/m
so, we get slope as

Let's assume perpendicular line passes through (2,2)
now, we can find equation of line

we can plug values

now, we can solve for y

Answer:

Explanation:

the graph is translated 3 units to the left and 2 units down.
vertex: (-3,-2) point: (-1,-6)








