Answer:
The answer is D. (x-4)^2
Step-by-step explanation:
It has a horizontal shift of 4 to the right
 
        
             
        
        
        
Answer:
x ≈ 8.66
Step-by-step explanation:
Using the sine ratio in the right triangle
sin60° =  =
 = 
Multiply both sides by 10
10 × sin60° = x, thus
x ≈ 8.66 ( to 2 dec. places )
 
        
             
        
        
        
Answer:
One and Four
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
Option D
Step-by-step explanation:
This function has vertex at origin
Let's verify
Put (0,0)
Hence verified
 
        
                    
             
        
        
        
Answer:
The difference in slopes of  is = 3
 is = 3
We can say slope of  is positive  and 3 more than slope of
 is positive  and 3 more than slope of  while slope of
 while slope of  is negative.
  is negative.
Difference of y-intercepts of  is = -7
 is = -7
We can say the y-intercept of  is positive and 7 units above
 is positive and 7 units above  while y-intercept of
 while y-intercept of  is negative.
  is negative.
Step-by-step explanation:
Given equation:


We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:

where  represents slope and
 represents slope and  represents y-intercept of line.
 represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.

Slope = 2 and y-intercept =-2

Slope = -1 and y-intercept =5
The difference in slopes of  is =
 is = 
We can say slope of  is positive  and 3 more than slope of
 is positive  and 3 more than slope of  while slope of
 while slope of  is negative.
  is negative.
Difference of y-intercepts of  is =
 is = 
We can say the y-intercept of  is positive and 7 units above
 is positive and 7 units above  while y-intercept of
 while y-intercept of  is negative.
  is negative.