H Algebra 2_Quadratic Expressions and Equations (SLT 1 - 6)

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What does the discriminant of a quadratic equation indicate?

Back

The discriminant (D = b² - 4ac) indicates the nature of the roots: if D > 0, there are two distinct real roots; if D = 0, there is one real root; if D < 0, there are two complex roots.

Front

How do you determine the vertex of a parabola given by a quadratic equation?

Back

The vertex of a parabola given by y = ax² + bx + c can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts of a quadratic function are the points where the graph intersects the x-axis, found by solving the equation ax² + bx + c = 0.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).

Front

How can you solve a quadratic equation by factoring?

Back

To solve a quadratic equation by factoring, express it in the form (x - p)(x - q) = 0, where p and q are the roots, and then set each factor to zero.

Front

What is the graphical representation of a quadratic function?

Back

The graphical representation of a quadratic function is a parabola, which opens upwards if a > 0 and downwards if a < 0.