Question 1149396
<br>
{{{F(x+5) = a(x+5)^2+b(x+5)+c}}}<br>
= {{{a(x^2+10x+25)+b(x+5)+c}}}<br>
= {{{(a)x^2+(10a+b)x+(25a+5b+c)}}}<br>
Given F(x+5) = x^2+9x-7, equate the coefficients of each term:<br>
quadratic coefficients: {{{a = 1}}}
linear coefficients: {{{10a+b = 9}}}
constants: {{{25a+5b+c = -7}}}<br>
Solve that system of 3 equations to find the values of a, b, and c to answer the question.<br>