Solving Quadratics Flashcard

Front

Solve 4m² - 100 = 0

Back

m = 5, -5

Front

What is the vertex of the graph of the quadratic function y = ax² + bx + c?

Back

The vertex is the point (h, k) where h = -b/(2a) and k = f(h).

Front

Solve x² + 44 = -15x

Back

{-11, -4}

Front

What are the zeros of the function f(x) = x² - 4?

Back

x = 0 and x = 4

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a ≠ 0.

Front

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

Back

If D > 0, two distinct real roots; D = 0, one real root; D < 0, no real roots.

Front

Solve the quadratic equation x² - 6x + 9 = 0

Back

x = 3 (double root)

Front

What is the axis of symmetry for the quadratic function y = ax² + bx + c?

Back

x = -b/(2a)

Front

How do you find the maximum or minimum value of a quadratic function?

Back

Evaluate the function at the vertex x = -b/(2a).

Front

What is the vertex form of a quadratic function?

Back

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