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The point (7,-2) is a point on the graph of y=f(x)B) write the function that would shift (7,-2) right 3 then up 4

User Rayworks
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B) We have to find a function that would shift (7,-2) 3 units to the right and 4 units up.

To move a function in the horizontal axis, we have to add or substract the numbers of units in the argument:

f(x-k) will translate f(x) "k" units to the right. If "k" is negative, the function will be translated "k" units to the left.

Then, if we need to translate the point 3 units to the right, f(x) should have an argument of (x-3).

If we have to translate it in the vertical axis, we just add or substract outside f(x).

For example, f(x)+h will translate f(x) "h" units up. If "h" is negative, it will be translated down.

In this case, as we have to translate the function 4 units up, we add 4 outside of f(x).

Combining the two translations, we get:


y=f(x-3)+4

Answer:

B) The function that translates the function 3 units right and 4 units up is y = f(x-3)+4.

User Mdaddy
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