Answer:
g(x) = - sqrt(x+8) reflected about the x axis and shifted 8 units to the left
h(x) = 2 sqrt(x) +1 is stretched by 2 in the y direction and shifted up 1 in the y direction
Step-by-step explanation:
y = f(x + C) C > 0 moves it left
So we moved it 8 units to the left
y = −f(x) Reflects it about x-axis
g(x) = - sqrt(x+8) reflected about the x axis and shifted 8 units to the left
y = f(x) + C C > 0 moves it up
so we moved it up 1 units
y = Cf(x) C > 1 stretches it in the y-direction
and stretched it by 2 in the y direction
h(x) = 2 sqrt(x) +1 is stretched by 2 in the y direction and shifted up 1 in the y direction
Answer:
y = 45,121,040×1.027^t
Step-by-step explanation:
An exponential growth equation is generally of the form ...
value at time t = (initial value)(growth factor)^t
where the growth factor is the multiplier for a period equal to one time unit.
Here, the initial value (in 2014) is 45,121,040. The growth factor is given as 1.027 (2.7% added per year), and we can define t as the number of years after 2014. Then our equation is ...
y = 45,121,040×1.027^t . . . . where t = years after 2014
Answer:
Step-by-step explanation:f(h(x))= 2x -21
f(x)= x^3 - 6
h(x)=\sqrt[3]{2x-15}
WE need to find f(h(x)), use composition of functions
Plug in h(x)
f(h(x))=f(\sqrt[3]{2x-15})
Now we plug in f(x) in f(x)
f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6
cube and cube root will get cancelled
f(h(x))= 2x-15 -6= 2 x-21
Y = -x - 2.....in y = mx + b form, the m represents the slope and the b represents the y int. (and if u didnt already know, -x is the same as -1x)
so in ur equation, the slope is -1 and the y intercept is -2....or (0,-2)
so u would plot (0,-2) and use the slope of -1 to plot another point. Draw a line through the points.
The coefficent is 5, since it’s placed before the variable.