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3 years ago

How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph

Mathematics

2 answers:

Marina CMI [18]3 years ago

8 0

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

$f(x)=x^3$

The translation of a function is defined as

$g(x)=f(x+a)+b$

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.

If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.

It is given that the graph of f(x) shifts 4 units left and 2 units down. So, a=4 and b=-2.

$g(x)=f(x+4)+(-2)$

$g(x)=(x+4)^3-2$ $[\because f(x)=x^3]$

$y=(x+4)^3-2$

Therefore option B is correct.

lbvjy [14]3 years ago

8 0

Answer:

Step-by-step explanation:

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Find the distance between the points (-5, 0) and (-4, 1).

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The formula of a distance between two points A and B is :

$AB=\sqrt{(x_{B}- x_{A})^2 +( y_{B}- y_{A})^2 }$

You should this formula by heart.

Then, you just have to apply it ! :D

Here :

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Therefore :

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In short, the answer would be the first option : $\sqrt{2}$ .

Hope this helps !

Photon

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3 years ago

Read 2 more answers