11th Grade Algebra Challenge

9

13

7

11 (correct)

18

6 (correct)

12

9

-1 and 4 (correct)

-3 and 4

1 and 2

2 and 3

<p>A quadratic function is a second-degree polynomial function that can be written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0. The graph of a quadratic function is a parabola, which can open upwards or downwards, and its axis of symmetry is the line x = -b/2a.</p> Signup and view all the answers

<p>To solve an absolute value equation |ax + b| = c, where a, b, and c are constants, the equation is split into two separate equations: ax + b = c and -(ax + b) = c. Then, solve for x in each equation and check the solutions to ensure they satisfy the original absolute value equation.</p> Signup and view all the answers

<p>The discriminant, given by the expression b^2 - 4ac, determines the nature of the roots of a quadratic equation ax^2 + bx + c = 0. If the discriminant is positive, the equation has two distinct real roots. If it's zero, the equation has one real root. If it's negative, the equation has two complex roots.</p> Signup and view all the answers