Quadratics Flashcardizz

Front

What is the vertex of the quadratic function f(x) = 2(x - 5)² + 12?

Back

(5, 12)

Front

Which term makes a function a quadratic function?

Back

x²

Front

What is the factored form of the quadratic function f(x) = -x² - 4x?

Back

f(x) = -x(x + 4)

Front

What are the zeros for the function f(x) = (x + 7)(x + 5)?

Back

(-7, 0) and (-5, 0)

Front

Is the function f(x) = 6(x-7)² - 9 wider, narrower, or the same as y = x²?

Back

Narrower

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c, where a ≠ 0.

Front

What does the 'a' value in a quadratic function determine?

Back

The direction and width of the parabola.

Front

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

Back

x = -b/(2a) from the standard form f(x) = ax² + bx + c.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the number and type of roots: positive (two real roots), zero (one real root), negative (no real roots).

Front

What is the vertex form of a quadratic function?

Back

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