Answer:
Option B
Step-by-step explanation:
Equation of the graph,
f(x) = x²
If the graph is translated 5 units to the right,
g(x) = f(x - 5)
Therefore, g(x) = (x - 5)²
If the function 'g' is translated 3 units up,
h(x) = g(x) + 3
Therefore, h(x) = (x - 5)² + 3
If the function 'h' is vertically compressed by a factor of ,
Then the new function will be,
k(x) =
Option B will the correct option.
Given, the plot is in the shape of triangle.
First side = x meter
Second side = ( 5x-3 )meters
Third side = ( 7x-6 ) meters
Perimeter of triangle is equal to the sum of all the three sides.
Perimeter =
Combine like terms by adding all the x terms together and all the constant terms together.
Perimeter =
Perimeter = feet ... Answer
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.