Question

The function f is defined as followed

f(x)=3x^2+1
More info linked please help with proper answer: find the expression for g(x)

(if you are good at this please help with the next two I will post soon after you answer)

Answer 1

Check the picture below, which is just a template for transformations.

so hmmm if we grab f(x) and move it downwards by 8 units, that means that the value for "D" gets a -8 added to it, so let's do that.

`f(x)=3x^2+1\qquad \implies f(x)=\stackrel{A}{3}(\stackrel{B}{1}x+\stackrel{C}{0})^2+\stackrel{D}{1} \\\\\\ g(x)=3(1x+0)^2+1+(-8)\implies {\LARGE \begin{array}{llll} g(x)=3x^2-7 \end{array}}`