Answer:
g(x) = (1/6)(x +7)^2 -8
Step-by-step explanation:
The transformation ...
g(x) = a·f(x -h) +k
represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...
g(x) = (1/6)(x +7)^2 -8
Answer:
y=1
Step-by-step explanation:
When x= -4, y=1, i don't know how else to explain it. Find the y value of the graph at that point.
A number decreased by three square is: (where x is the number)
x - 3^2
Answer:
A kilometer is 10⁶ times as large as a millimeter.
Step-by-step explanation:
In the metric system first we have: millimeter, centimeter, decimeter and meter. Each one of these is 10 times the other (1 centimeter is 10 millimeter, 1 decimeter is 10 centimeter, 1 meter is 10 decimeter). Therefore, 1 meter is 10x10x10 millimeter = 1 meter is 1000 millimeters.
But we know that 1 km is 1000 meters,
Therefore, 1 km = 1000 meter = 1, 000,000 milimeter = 10⁶ milimeter
So then, we have that 1 kilometer is 10⁶ as large as a milimeter.