Question

Let f(x)=2 sqrt(x)

If g(x) is the graph of f(x) shifted down 5 units and right 6 units, write a formula for g(x)

g(x) =

Answer 1

@goformit100

Answer 2

I'm pretty sure this linear algebra, not calc. In order to solve this, you must first understand the basics of algebraic functions, which I think you do.

To make this more understandable, lets first solve this visually, then algebraically.

Let's re-write this function as an equation.
\[f(x)=2\sqrt{x}\]
\[y=2\sqrt{x}\]

Now, lets graph this equation. It might look something like this (file attached).

Answer 3

It is pre calc, transformation of functions is what my book has it under

Answer 4

This is a square root function

Answer 5

I'm not too clear on shifting vertically and horizontally and how that is represented in g(x)

Answer 6

Ohhh alright so it's most likely brushing up on more advanced algebra.

Answer 7

You're familiar with rise-run and point slope-form, correct?

Answer 8

Yes

Answer 9

When shifting equations, it's sometimes easier to imagine the x and y axis visually and adjust accordingly.

If: \[f(x)=2\sqrt{x}\]
\[g(x)=2\sqrt{x-6}-5\]

Answer 10

OK, that is what I was thinking... but I put that answer in and got it wrong

Answer 11

If graphed:

Answer 12

Thanks. That was it. So I had it like this: