Solving Quadratics Lesson

Front

What is the factored form of the quadratic equation x² - 9x + 20?

Back

(x - 4)(x - 5)

Front

How do you find the roots of a quadratic equation?

Back

Set the equation to zero and factor it, then solve for x.

Front

What is the vertex form of a quadratic function?

Back

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

Front

Convert the quadratic equation 4x² - 8x = 3 to standard form.

Back

4x² - 8x - 3 = 0

Front

What are the coefficients a, b, and c in the equation 4x² - 8x - 3 = 0?

Back

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

Front

What is another term for the solutions of a quadratic equation?

Back

Roots

Front

How do you determine the axis of symmetry for a quadratic function?

Back

x = -b/(2a) where a and b are coefficients from ax² + bx + c.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for ax² + bx + c = 0.

Front

What does the discriminant (b² - 4ac) tell you about a quadratic equation?

Back

It indicates the nature of the roots: two real roots, one real root, or no real roots.

Front

How can you graph a quadratic function?

Back

Plot the vertex, axis of symmetry, and additional points, then draw a parabola.