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Dmitry_Shevchenko [17]
3 years ago
5

How does the graph of g(x) = (x + 4)3 − 6 compare to the parent function f(x) = x3?

Mathematics
2 answers:
Semenov [28]3 years ago
8 0

Answer:

The parent function is f(x)=x^{3}

The transformed function is g(x)=(x+4)^{3} -6

In the transformed function, you can observe that there's being added four units to x-variable, and there's being subtracted six units from x-variable.

<em>These transformation means that the parent function is being moved 4 units leftwards and 6 units downwards, that's basically the relation between </em>f(x)<em> and </em>g(x)<em>.</em>

Now, you can get this answer by using the rules to translate functions:

  • If you add units to the x-variable, the graph will move to the left, if you subtract units to that variable, the graph will move to the right.
  • If you add units to y-variable, the graph will move upwards. If you subtract units from that variable, the graph will move downwards.

Solnce55 [7]3 years ago
4 0

Answer:

g(x) is shifted 6 units to the left

Step-by-step explanation:

Lets try to simplify g(x) since has a few extra terms:

g(x)= 3x+12-6=3x+6

Now it is easier to compare the two functions.

We can tell that they both have the same slope, both differs on a extra term

This term tell us that the g(x) is shifted to the left (it is positive 6)

Another approach to the solution is to plot the two functions together by obtaining the crossing points with the 'y' axis and with the 'x' axis

the result is shown in the attached picture

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If a triangle has 3 side one is 12 one is 72 what is the last sude
harkovskaia [24]

this triangle has 3 sides one is 12, lets call this side a²

another side is 72, lets call this side c²

this triangle must follow Pythagoras therom if it is right angled, that is a²+b²=c²

where a and b are the two shorter sides and c is the longest side (called the hypotenuse) opposite the right angle

to find the last side you do 72² - 12² = 5040

but it is the square root of 5040 which is 70.99 (two decimal places) if you want it in decimal form, if you want it in surd form it is √5040

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Step-by-step explanation:

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Step-by-step explanation:

The formula for the area of a triangle is ...

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