Question

25 POINTS. PLZZ HELP

the function g(x)=-(x)^2+5. the function f(x)=-g(x+2)
the graph of the functions f(x) opens:
-up
-down
the graph of the function f(x) is shifted horizontally
- 2 units to the left of the function g(x)
- 2 units to the right of the function g(x)

Answer 1

downwards

2 units to the right

Explanation:

because the coefficient of g is negative the graph faces down

if the sign between the two numbers (x and 2 in this case) is - it shifts to the right

if it's + it shifts to the left

Answer 2

The graph of f(x) opens:

- up

The graph of f(x) is shifted horizontally:

- 2 units to the left of the function g(x)

Explanation:

g(x) = -x² +5

Turning point: (0,5) --> max

fx) = -g(x+2)

f(x) = -[-(x+2)² + 5]

f(x) = (x+2)² - 5

Turning point: (-2,-5) --> min