What were the transformations from f(x)=x2 to f(x) =−7(x−9)2 +3

Question 7 options:

Shifted left 9 units, shifted up 3 units, reflected over the x-axis, vertically stretched by a factor of 7

Shifted right 9 units, shifted up 3 units, vertically compressed by a factor of 7

Shifted right 9 units, shifted up 3 units, reflected over the y-axis, vertically compressed by a factor of 7

Shifted right 9 units, shifted up 3 units, reflected over the x-axis, and vertically stretched by a factor of 7

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )

x = 3 ± √(5+y)

the given growth  function for the length of the fish (cm) is

f(m) = 5(1.07)m = 5.35m

where 

m = months

at the end of the study, the length is 9.19 cm. the  time for conducting the study is determined as

5.35m = 9.19

m = 1.7178 months

part a.

the study was performed over a time period  of about 1.72 months. therefore  the domain for  plotting the function is 0 < = m < = 1.72.

note:

if growth  continues at this rate for up to m months, then the domain would be 0< =m< =m.

part b.

the growth function is a linear function.

when m=0, f=0.

therefore the initial growth is zero, which represents the y-intercept.

part c.

assume that the growth function is valid for 0< =m< =9.

the average rate of change of the function is the slope of the linear function, which is 5.35 cm/month.