Quadratics Flashcard

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c

Front

How do you find the vertex of the quadratic function g(x) = 2(x - 4)^2 + 8?

Back

The vertex is (4, 8).

Front

Describe the transformations of the function (x + 1)^2 - 4.

Back

left: 1, down: 4

Front

What does the transformation - (x + 3)^2 + 6 indicate?

Back

reflect over the x-axis, left: 3, up: 6

Front

What is the graph of a quadratic function called?

Back

Parabola

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

What does the 'a' in the quadratic function f(x) = ax^2 + bx + c represent?

Back

The 'a' value determines the direction and width of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

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

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

If 'a' > 0, it opens upwards; if 'a' < 0, it opens downwards.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.