<span>Assuming the graph is y=-3(√2x)-4 and y=-3√(x-4) the transformation would be:
</span><span>The graph is compressed horizontally by a factor of 2
x=1/2x'
</span>y=-3(√2x)-4
y=-3(√x')-4 <span>
</span><span>moved left 4
x=x'-4
</span>y=-3(√x)-4
y=-3(√x'-4)-4
<span>
moved down 4
y=y'-4
</span>y=-3(√x-4)-4
y'-4=-3(√x'-4)-4
y'=-3(√x'-4)-4 +4
y'=-3(√x'-4)
Answer: C. <span>The graph is compressed horizontally by a factor of 2, moved left 4, and moved down 4.
</span>
Answer:
7 and 1/4 or 7.25
Step-by-step explanation:
28/4 = 7
1/4 = 0.25
7 + 0.25 = 7.25
Answer:
30
Step-by-step explanation:
To compare the numbers, divide the first number by the second number.
(7.4 x 10^8)/(2.5 x 10^7) = (74 x 10^7)/(2.5 x 10^7) = 74/2.5 = 29.6
Answer: 30
Answer:
y = 30(2)^x
Step-by-step explanation:
Initial deer population = 30 (in 2010)
Every year, deer population doubles ; this means there is an 100% increase in the population every year ;
Hence, using the exponential growth relation :
Final = initial * (1 + rate)^year
Here,
Final population y ; x years after 2010
Rate = 100% = 1
Hence,
y = 30(1 + 1)^x
y = 30(2)^x
Step-by-step explanation:
The area of a triangle is calculated by multiplying height to the base and that divided by two
G.
13 × 20 ÷ 2 = 130 ft^2
H.
11 × 4 ÷ 2 = 22 ft^2
