Unit 6 Review - Quadratic Equations

Front

What are the values of a, b, and c in the quadratic equation 4x² - 8x = 3?

Back

a = 4, b = -8, c = -3

Front

What is the discriminant of the quadratic equation 6x² - 2x - 3 = 0?

Back

76

Front

If the discriminant is equal to 0, how many roots does the quadratic equation have?

Back

1

Front

A function has a discriminant of 25. How many solutions does it have?

Back

2

Front

Use the quadratic formula to solve 2x² + 2x - 12. What are the solutions?

Back

2, -3

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

What does the discriminant tell us about the roots of a quadratic equation?

Back

The discriminant (D = b² - 4ac) indicates the nature of the roots: D > 0 means 2 real roots, D = 0 means 1 real root, D < 0 means no real roots.

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).

Front

What is the axis of symmetry for a quadratic function?

Back

The axis of symmetry is the vertical line x = -b/(2a).

Front

What is the vertex form of a quadratic equation?

Back

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