Answer:
A. Shift down 2 units.
B. Vertically stretch by a factor of 4.
Step-by-step explanation:
Given the function
f(x)=x
If we stretch y vertically by a factor of m, we have: y=m·f (x)
Therefore:
Vertically stretching f(x) by a factor of 4, we have: 4x.
Next, if we take down f(x) by k units we have: y= f(x)-k
Therefore: Taking down 4x by 2 units, we obtain:
g(x)=4x-2
Therefore, Options A and B applies.
Step-by-step explanation:
Use Pythagoras' theorem

52² = 33.6² + x²
solve for x
Answer:
Step-by-step explanation:
(x-3)/(x+4) = x/(x+10)
(x-3)(x+10) = x(x+4)
x²+7x-30 = x²+4x
3x = 30
x = 10
Answer:
The derivative is

Step-by-step explanation:
The function is given by

Differentiate with respect to x, we get

All direct proportional graphs go through the origin (0,0). So this is where one point could go. The second point is found by going up 5 units and then to the right 3 units to get to (3,5)
<h3>Draw a straight line through (0,0) and (3,5) to graph</h3>
The equation of this line is y = (5/3)x