We look for the minimum of each function.
For f (x) = 3x2 + 12x + 16:
We derive the function:
f '(x) = 6x + 12
We match zero:
6x + 12 = 0
We clear the value of x:
x = -12/6
x = -2
We substitute the value of x in the equation:
f (-2) = 3 * (- 2) ^ 2 + 12 * (- 2) + 16
f (-2) = 4
For g (x) = 2sin(x-pi):
From the graph we observe that the minimum value of the function is:
y = -2
Answer:
A function that has the smallest minimum y-value is:
y = -2
The answer would be 15.7142857143
You can get the answer by calculating (5/7) × 22
Answer:
A
Step-by-step explanation:
To find an inverse function you switch f(x) and x, and solve for f(x) (in this case you also rename it to g(x) )
inverse of y=(x-4)/5 is
5x = x -4
x = 5x + 4 so A works
Parent function is y=√x
result is
-4+√(25(x-1))
-4 was added to whole function so translated 4 units down
it every x was multipied by 25 so horizontally stretched bya factor of 25
then, minus 1 from every x to move to right
so the blanks are
strech 25, 1 to the right, 4 down
