Intro to Quadratic Equations

Front

What is another term for quadratic equations?

Back

Equation of degree 2

Front

Which of the following is an example of a quadratic equation? x + 9 = 0, x + y = 12, x^3 + 5x^2 - 14 = 0, x^2 - 2x = 7

Back

x^2 - 2x = 7

Front

What is the equation of the line of symmetry for the quadratic function?

Back

x = 0.5

Front

What are the x-intercepts of the quadratic equation?

Back

x = 0 and x = 4

Front

What is the vertex and the axis of symmetry of the graph?

Back

Vertex: (2, -6), A.O.S.: x = 2

Front

What is a quadratic equation?

Back

An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c

Front

What does the 'a' in the quadratic equation y = ax^2 + bx + c represent?

Back

The coefficient that determines the direction and width of the parabola.

Front

What is the discriminant in a quadratic equation?

Back

The value calculated as b^2 - 4ac, which determines the nature of the roots.

Front

What does a positive discriminant indicate?

Back

Two distinct real roots.