Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = 3(x + 2)2 − 4?
A) stretched vertically, shifted left 2 units, and shifted down 4 units
B) stretched vertically, shifted right 2 units, and shifted up 4 units
C) compressed vertically, shifted left 2 units, and shifted down 4 units
Eliminate
D) compressed vertically, shifted right 2 units, and shifted up 4 units
By graphing the given options as shown in attached figure
<span>f(x) = (1/4)^x+2 ⇒⇒⇒⇒ The black graph
f(x) = (1/4)^x +2 </span><span>⇒⇒⇒⇒ The red graph
</span>
f(x) = (1/4)^x-2 <span><span>⇒⇒⇒⇒ The blue graph
</span></span><span><span />
f(x) = (1/4)^x -2 ⇒⇒⇒⇒ The green graph
</span>
The correct answer will be the blue graph
Answer:

Step-by-step explanation:

So k=katie's' age
m=mara's age
k is 2 times as old as m
k=2m
sum is 24
add means sum
k+m=24
so we have
k+m=24 and
k=2m
subsitute
2m+m=24
add
3m=24
divide both sides by 3
m=8
subsitute again
k=2m
k=2(8)
k=16
katie=16
mara=8