What is the function g(x) created from f(x) = x2 by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units?

A) g(x) = 4(x + 9)^2 + 5
B) g(x) = 4(x − 9)^2 + 5
C) g(x) = 5(x + 4)^2 + 9
D) g(x) = 9(x + 5)^2 + 4

(note its 2 squared not 2 squared +)

answer:

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116