Quadratics Flashcardizz

Front

What is the shape created by a football thrown in the air?

Back

Parabola

Front

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

Back

(5, 12)

Front

What are the roots of the function f(x) = (x - 2)(x + 3)?

Back

x = 2 or x = -3

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 value of (b/2)² for the function 0 = x² - 6x + 20?

Back

9

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

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

Back

The direction and width of the parabola; if 'a' is positive, it opens upwards, if negative, downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).

Front

What is the standard form of a quadratic equation?

Back

f(x) = ax² + bx + c.

Front

What is the factored form of a quadratic function?

Back

f(x) = a(x - r1)(x - r2), where r1 and r2 are the roots.