## DESCRIPTION
## Algebra
## ENDDESCRIPTION

## KEYWORDS('algebra','function')
## Tagged by cmd6a 8/6/06

## DBsubject('Algebra')
## DBchapter('Functions')
## DBsection('Evaluation and Solving')
## Date('7/21/03')
## Author('K. Lesh')
## Institution('Union College')
## TitleText1('')
## EditionText1('')
## AuthorText1('')
## Section1('')
## Problem1('')

DOCUMENT();        # This should be the first executable line in the problem.

loadMacros(
   "PG.pl",
   "PGbasicmacros.pl",
   "PGchoicemacros.pl",
   "PGanswermacros.pl",
   "PGauxiliaryFunctions.pl",
   "PGunion.pl",        # Union College utilities
   "alignedChoice.pl",  # for aligned answer blanks
   "PGcourse.pl",       # Customization file for the course
);

TEXT(beginproblem());
BEGIN_PROBLEM();

$a = random(2,8,1);
$b = random(1,8,1);
$c = random(1,8,1);
$f = FPOLY("$a x^2 + $b x - $c");

$ans1 = -$c;
$ans2 = $a*4+$b*2-$c;
$ans3 = $a*4-$b*2-$c;
$ans4 = "$a (x+1)^2+$b(x+1)-$c";
$ans5 = "$a x^2-$b x-$c";

$al = new_aligned_list(ans_rule_len=>15, tex_spacing=>"3pt");
$al->qa(
  "\(f(0)\)", num_cmp($ans1),
  "\(f(2)\)", num_cmp($ans2),
  "\(f(-2)\)", num_cmp($ans3),
  "\(f(x+1)\)", fun_cmp($ans4),
  "\(f(-x)\)", fun_cmp($ans5),
);

BEGIN_TEXT
Given the function \( f(x)= $f\), calculate the following.
$PAR
\{$al->print_q\}
END_TEXT

$showPartialCorrectAnswers = 1;
ANS($al->correct_ans);

END_PROBLEM();
ENDDOCUMENT();        # This should be the last executable line in the problem.