Consider the function f (x)= (x- 5)^2+2 and g (x)= (x+6)^2-4. Which of the following statements is true?

A. The graph of g(x) is shifted 2 units below and 1 unit to the right of the graph f(x).

B. The graph of g(x) is shifted 1 unit above and 2 units to the right of the graph f(x).

C. The graph of g(x) is shifted 6 units below and 11 units to the left of the graph f(x).

D. The graph of g(x) is shifted 11 units above and 6 units to the left of the graph f(x).

The correct answer is C.

Step-by-step explanation:

I took the algebra nation test yourself and I got c, and the answer was correct. I hope this helps!

C. The graph of g(x) is shifted 6 units below and 11 units to the left of the graph f(x).

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a