[MOVED] find equation for horizontal translation of graph

[kathy's]

A horizontal translation is applied to the graph of y = X^3 + 2 so that it will pass through (3, 10). What is the new equation for the graph?

How do I do this?

Thank you!

 

[royhaas]

Solve for \(\displaystyle A\) in \(\displaystyle y = (X-A)^3 + 2\), when \(\displaystyle X=3, y=10\).

 

[kathy's]

get lost from here!

okay so

y=(x-A)^3+ 2

10= (3-A)^3 +2
10-2= (3-A)^3

8= (3-A)^3

now what?

 

[Denis]

Re: get lost from here!

8= (3-A)^3
now what?

3 - A = cuberoot(8)
3 - A = 2
A = 1

 

[stapel]

Re: [MOVED] find equation for horizontal translation of grap

A horizontal translation....
How do I do this?

You've received specific instructions for this particular exercise. In general, just use the translation rules they gave you:

. . . . .f(x ± a) is f(x) moved to the left or right "a" units

. . . . .f(x) ± a is f(x) moved up or down "a" units

Take f(x) = x³ + 2, use the horizontal formula (above), and plug-n-chug to solve for "a".

Eliz.