Which statement is true about "f(x)"
2 answers:
ANSWER
The graph of f(x) is horizontally stretched.
EXPLANATION
The given function is
The vertex of this function is (-4,-6)
The factor ⅔ strectches the graph horizontally in the graph of f(x) opens wider than the parent function
y=|x|
The negative factor will make the graph open downwards. It is a reflection in the x-axis.
The domain of the graph is all real numbers.
Answer: Second Option
The graph of f(x) is horizontally stretched.
Step-by-step explanation:
We have the function:
The main function has its vertex in the point (0,0) opens upwards and its domain is all real numbers.
Notice that is a transformation of the function
.
Observe the attached image. Where the red line represents the transformed function. Notice that it opens down and is stretched horizontally. Its vertex is at point (4, -6) and the domain is all real numbers
Therefore the statement that is true is the second
The graph of f(x) is horizontally stretched.
You might be interested in
Answer:
The required piece-wise linear function is
Step-by-step explanation:
Consider the provided information.
Let x represents the number of hours and S(x) represents the depth of snow.
There was no snow on the ground when it started falling at midnight at a constant rate of 1.5 inches per.
That means the depth of snow will be:
At 4:00 a.m., it starting falling at a constant rate of 3 inches per hour,
From mid night to 4:00 a.m the depth of snow will be 1.5×4=6 inches.
If we want to calculate the total depth of snow from midnight to 7:00 am we need to add 6 inches in 3(x-4) where 4≤x<7
Therefore,
7:00 a.m. to 9:00 a.m., snow was falling at a constant rate of 2 inches per hour.
From mid night to 7:00 a.m the depth of snow will be 3(7-4)+6=15 inches.
If we want to calculate the total depth of snow from midnight to 9:00 am we need to add 15 inches in 2(x-7) where 7≤x≤9
Therefore, the required piece-wise linear function is