Finding the transformation of a linear function $f(x)=mx+c$ to $f(ax)+b$.
", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "If $f(x)=\\simplify{{m}x+{c}}$, what is $\\simplify{f({a}x)+{b}}$?
", "advice": "To make the transformation from $f(x)=\\simplify{{m}x+{c}}$ to $\\simplify{f({a}x)+{b}}$, we need to replace the $x$-terms in $f(x)$ with $\\simplify{{a}x}$, and then {aors} $\\var{b}$ {torf} this function:
\n{advice}
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\"", "description": "", "templateType": "long string", "can_override": false}, "sol2": {"name": "sol2", "group": "Ungrouped variables", "definition": "\"\\\\[ \\\\begin{split} \\\\simplify{f({a}x)+{b}} &\\\\,= \\\\simplify[!expandBrackets,!collectNumbers]{({m}({a}x)+{c})+{b}} \\\\\\\\ &\\\\,=\\\\simplify{{m*a}x+{c+b}} \\\\\\\\ &\\\\,=\\\\simplify{{simp}({(m*a)/simp}x+{(c+b)/simp})}. \\\\end{split} \\\\]
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