You can easily see that

In fact, you have

This kind of transformation, where you add a constant to change

result in a vertical translation, k units up if
, k units down if 
So, in this case, the graphs of f(x) and g(x) have the same shape, and they are vertically shifted 5 units apart, g(x) is higher and f(x) is lower.
Answer:
S1) False. 2³ is 2 × 2 × 2 which is <u>8, not 6.</u>
S2) False. ( 2x / 3y ^ (2) ) ^ (3) =
( (2x) ^ (3) / ( (3y) ^ (2) ) ^ (3) ) = (2)³ × (x)³ / (3)³ × (y²)³ = 8 × x³ / 27 × y<u>⁶</u> = 8x³ / 27y<u>⁶</u><u>.</u>
<u>i.e </u><u>(</u><u>a^</u><u>b</u><u>)</u><u>^</u><u>c</u><u> </u><u>=</u><u> </u><u>a^</u><u>(</u><u>b </u><u>×</u><u> </u><u>c)</u><u>.</u>
S3) True.
S4) True.
S5) False. x^(-3) = 1 / x^(3) ≠ 1 / 3x
Answer:
5
Step-by-step explanation:
320 / 64 = 5
Factors of 36 that add up to -12
-6 and -6
<span>(x − 6)(x − 6)
</span>
Set them both to equal 0 and solve for x
x - 6 = 0
x - 6 = 0
x = 6
x = 6
Answer:
B
C
D
Step-by-step explanation:
all have 4 n's and 4 -5's