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hi, i'm basically a bit confused as to how to solve this vector question, in other words, in what i have to do which is confusing me...

This is a sketch of the curve with equation

It passes through the origin O.

The only vertex of the curve is at

a) Write down the coordinates of the vertex of the curve with the equation (

i) y = f(x-3)

ii) y = f(x) -5

iii) y = -f(x)

iv) y = f(2x)

The curve with equation

## Homework Statement

This is a sketch of the curve with equation

**y = f(x)**It passes through the origin O.

*(the sketch has no value on or anything, its simply a happy parabola then passes through the origin on the left side a bit of the way up, and dips in the negative y values)*The only vertex of the curve is at

**A (2, -4)**a) Write down the coordinates of the vertex of the curve with the equation (

**bold**are my answers)i) y = f(x-3)

**(5, -4)**ii) y = f(x) -5

**(2, -9)**iii) y = -f(x)

**(2, 4)**iv) y = f(2x)

**(1, -4)**The curve with equation

**y=x^2**has been translated to give the curve**y=f(x)[/]**

b) find

(I dunno if the first half of the question is needed, if it is, say so and ill post it up)

not really sure, i know how functions work, I know all about vectors too, but not sure what it means by "translated", and how i would find out the answer.

my instinct says the answer is simply

hope you can help, thnx

b) find

**f(x)**in terms of**x**## Homework Equations

(I dunno if the first half of the question is needed, if it is, say so and ill post it up)

## The Attempt at a Solution

not really sure, i know how functions work, I know all about vectors too, but not sure what it means by "translated", and how i would find out the answer.

my instinct says the answer is simply

**x^2**, but somehow I dont think it is, and i certainly dont think that is worthy of 4 marks :Shope you can help, thnx

**i added in the entirity of the question now..**
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