Answer:
y = 2x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3 + 4x = 2y - 9 into this form
add 9 to both sides
12 + 4x = 2y ( divide all terms by 2 )
6 + 2x = y ← in slope- intercept form
with slope m = 2
• Parallel lines have equal slopes, hence
y = 2x + c ← is the partial equation of the parallel line
To find c substitute (4, - 4) into the partial equation
- 4 =8 + c ⇒ c = - 4 - 8 = - 12
y = 2x - 12 ← equation of parallel line
Answer:
A) 
Step-by-step explanation:
The graph has x-intercepts at
and
, so our factors for the polynomial will be
and
. This means we can rule out options B and D.
Our graph also has a y-intercept of
when
, so if we let
and
, we can find the multiplier:

Thus, the correct equation is A) 
Ans(a):
Given function is 
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4

We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(e):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation





4x-3x=-1-16
x=-17
Hence final answer is x=-17
Not sure right now give me a few mins
Because it is a fraction thats why. ok