A function
x)=\sqrt[3]{x}" align="absmiddle" class="latex-formula"> is transformed into the function ![g(x)=-\sqrt[3]{x} -8](https://tex.z-dn.net/?f=g%28x%29%3D-%5Csqrt%5B3%5D%7Bx%7D%20-8)
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Name the 2 transformations that occurred and describe the general shape of g(x). When describing the shape, you have the option of including a picture of its graph.
PLEASE HELP!!!!!
Name the 2 transformations that occurred and describe the general shape of g(x). When describing the shape, you have the option of including a picture of its graph.
PLEASE HELP!!!!!
1 answer:
Answer:
a reflection in the x-axis, and a vertical translation of 8 units down.
Step-by-step explanation:
The given function is
The transformed function is
We can see that the transformation is of the form
Where h=8 is a downward shift by 8 units.
And the negation tells us that the parent function is reflected in the x-axis
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We can find the height of the altitude by the ratio of sin. See my attachment.
sin of angle = side in front of the angle / hypotenuse
sin x = height/distance
If the two pilot is rising in an hour, then the first distance is 400 miles, the second distance is 300 miles.
Find the height of first pilot
height/distance = sin x
height/400 = sin 30°
height = sin 30° × 400
height = 1/2 × 400
height = 200
Find the height of second pilot
height/distance = sin x
height/300 = sin 40°
height = sin 40° × 300
height = 0.642 × 300
height = 192
So the first pilot traveling 400 mph with 30° is more quickly to reach high altitude than the second pilot traveling 300 mph with 40°
sin of angle = side in front of the angle / hypotenuse
sin x = height/distance
If the two pilot is rising in an hour, then the first distance is 400 miles, the second distance is 300 miles.
Find the height of first pilot
height/distance = sin x
height/400 = sin 30°
height = sin 30° × 400
height = 1/2 × 400
height = 200
Find the height of second pilot
height/distance = sin x
height/300 = sin 40°
height = sin 40° × 300
height = 0.642 × 300
height = 192
So the first pilot traveling 400 mph with 30° is more quickly to reach high altitude than the second pilot traveling 300 mph with 40°