Use the drawing tool(s) to form the correct answer on the provided graph.
2 answers:
In the attached, the dotted red graph is g(x). The solid black graph is the function shifted 5 units left.
Answer:
Points (-9,0) and (-4,0) represent zeros of the new function
Step-by-step explanation:
In the attached diagram the graph of the function is represented by the red curve.
When translating the graph of the function 5 units to the left the function becomes
The function has zeros 1 and -4 (see attached diagram). Then zeros of the new function
are exactly 5 units shifted to the right zeros of the function
So, points
and
represent zeros of the function
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Observe attached picture.
On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft
When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.
We can apply trigonometry rules to find height of flagpole.
From small triangle containing sign we can find tangens function:
Similarly we can do for large triangle containing flagpole:
We see that these two equations have same left sides. This means that their right sides must also be same:
We can solve for A:
Height of flagpole is 48 feet.
On picture we have:
A = height of flagpole = x ft
B = length of flagpole's shadow = 24 ft
C = height of sign = 6 ft
D = length of sign's shadow = 3 ft
When we draw a picture representing this problem we can also add another line marked in red. This way we can see that we have two right-angle triangles. We can see that both have same angle marked with α.
We can apply trigonometry rules to find height of flagpole.
From small triangle containing sign we can find tangens function:
Similarly we can do for large triangle containing flagpole:
We see that these two equations have same left sides. This means that their right sides must also be same:
We can solve for A:
Height of flagpole is 48 feet.