If f(x)=x^2+2 ahd g(x)=f(-4x), graph g(x) and write the equation for g(x)

so g(x)=f(-4x) just means g(x)=(-4x)^2+2

So we are going to pick some points to graph it or use a handy dandy graphing calculator(gotta love em)

For graphing calculator https://www.desmos.com/calculator/gdlwyellow

If we are picking some points, x=-1 x=1 and x=0 are always good choices. respectively we get 18,18, and 2

let me know which method you prefer so I can add any necessary details :)

Cool profile pic, how would I find the equation

What do you mean how would you find it, can you tell me where you are confused?

I don't know how to find the equation

and thanks :)

Oh, ok so if I told you find f(2) what would you do?

Would i find the value of y when x equals 2

yea, and everywhere you saw an x you'd put a 2 in your equation right?

I don't know

same concept here, only everywhere I see an x in f(x), I put a (-4x)

What would the equation be

Could you show me the equation, but step by step, so I can figure out what to do

This link explain a little clearer if it wasn't well explained in class. This is just substituting (-4x) any where there is just an x in the original equation. http://www.purplemath.com/modules/evaluate.htm

I feel that that would benefit me the mist

That actually is step by step, it's only one step

The step is: f(x)=x^2+2

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

It's just substitution, the link explain substitution for numeric values. Same concept here, only put a variable value instead of a number.

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