Answer:
Parent function
Step-by-step explanation:
Answer:
The diameter is 12
Step-by-step explanation:
37.68/3.14 = D π/ 3.14
D = 12 The diameter equals twelve.
The function is:
(9x^2 - 36)
f(x) = ---------------------
3x + 6
You can simplify that function to a linear function for all x for which 3x + 6 ≠ 0
=> x ≠ - 2.
So, for x ≠ - 2, you can do:
(9x^2 - 36)
f(x) = --------------------- =
3x + 6
9(x^2 - 4)
f(x) = ---------------------
3(x + 2)
3(x + 2)(x - 2)
f(x) = --------------------- = 3(x - 2) = 3x - 6
(x + 2)
So, the graph is a right line that intercepts the y-axis at - 6 and the x-axis at x = 2, excluding x = -2 as the function is not defined for x = -2. That is the second graph of the second picture.
Step-by-step explanation:
An exponential function is represented by function,

Where a is the y intercept and b is the growth factor.
The graph passes through (0,1) which is our y intercept so a=1
Know let find b.
The graph pass through (1,3) so plug in 1 for x and 3 for y.


So our base function is

In order for this function to shrink, we must shift the y intercept such that it is less than 1 but greater than -1.
So the only option is

Because 1/2<1