Match each function to how its graph is related to the graph of the parent function f(x)=^3гxa. the graph of the parent function is shifted 7 units down. b. the graph of the parent function is shifted 7 units rightc. the graph of the parent function is shifted 7 units upd. the graph of the parent function is shifted 7 units left

g(x) = ∛x + 7⇒the graph of the parent function is shifted 7 units up(c)

g(x) = ∛x - 7⇒the graph of the parent function is shifted 7 units down(a)

g(x) = ∛(x - 7)⇒the graph of the parent function is shifted 7 units right(b)

g(x) = ∛(x + 7)⇒the graph of the parent function is shifted 7 units left(d)

Step-by-step explanation:

* Lets revise some transformation

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* Now lets solve the problem

a) ∵ f(x) = ∛x

∵ The graph of the parent function is shifted 7 units down

- Subtract f(x) by 7

∴ g(x) = ∛x - 7

b) ∵ f(x) = ∛x

∵ The graph of the parent function is shifted 7 units right

- The x-coordinate is changed to x - 7

∴ g(x) = ∛(x - 7)

c) ∵ f(x) = ∛x

∵ The graph of the parent function is shifted 7 units up

- Add f(x) by 7

∴ g(x) = ∛x + 7

d) ∵ f(x) = ∛x

∵ The graph of the parent function is shifted 7 units left

- The x-coordinate is changed to x + 7

∴ g(x) = ∛(x + 7)

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.