HW 7.1 Solving Quadratics by Graphing and Factoring

Front

What are the solutions of the quadratic equation x^2 - 6x + 8 = 0?

Back

x = 2, x = 4

Front

Define a quadratic equation.

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the vertex of a parabola represented by the equation y = ax^2 + bx + c?

Back

The vertex is the point (h, k) where h = -b/(2a) and k = f(h). It represents the maximum or minimum point of the parabola.

Front

How do you factor the quadratic expression x^2 + 5x + 6?

Back

(x + 2)(x + 3)

Front

What is the axis of symmetry for the parabola given by the equation y = 2x^2 - 4x + 1?

Back

x = 1 (found using x = -b/(2a))

Front

What are the solutions of the quadratic equation x^2 + 4x + 4 = 0?

Back

x = -2 (a repeated root)