Given:
The two functions are:


To find:
The statement that best compares the graph of g(x) with the graph of f(x).
Solution:
The horizontal stretch is defined as:
...(i)
If
, the function f(x) is horizontally stretched by factor
.
If
, the function f(x) is horizontally compressed by factor
.
We have,


Using these functions, we get
...(ii)
On comparing (i) and (ii), we get

Since
, the function f(x) is horizontally stretched by factor
.
Hence, the correct option is D.
Answer:
D
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 )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)
m =
= -
, hence
y = -
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 4), then
4 = -
+ c ⇒ c = 4 +
= 
y = -
x +
← equation of line
Answer:
pls write question correctly so I can answer it
Answer:
A 20/28
Step-by-step explanation: