All Forms of Quadratics

Front

Convert to factored form: f(x) = d^2 - 10d + 25

Back

f(x) = (d - 5)(d - 5)

Front

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

Back

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

Front

If the factored form of the quadratic is y=(x+4)(x-6), what are the x-intercepts?

Back

-4 and 6

Front

If the quadratic has a positive 'a' coefficient, the parabola is:

Back

Concave Up

Front

What is another name for the x-intercepts of a quadratic?

Back

Zeros

Front

What is the standard form of a quadratic equation?

Back

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

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola.

Front

How do you find the vertex of a quadratic in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate.

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

What is the discriminant in a quadratic equation?

Back

The value of b^2 - 4ac, which determines the nature of the roots.