unit 4 flashcard 4

Front

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

Back

The roots are x = 2 or x = -3.

Front

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

Back

The x-intercepts are (-7, 0) and (-5, 0).

Front

Convert to Factored Form: x^2 - 10x + 24

Back

The factored form is (x - 6)(x - 4).

Front

Convert the equation from vertex form to standard form: y = -5(x + 2)^2 - 10

Back

The standard form is y = -5x^2 - 20x - 30.

Front

Convert to standard form: f(x) = x^2 + 3x - 18

Back

The standard form is (x + 6)(x - 3).

Front

What is the vertex of the parabola given by the equation y = a(x - h)^2 + k?

Back

The vertex is the point (h, k).

Front

How do you find the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

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

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0).

Front

What is the axis of symmetry for a quadratic function?

Back

The axis of symmetry is the vertical line x = -b/(2a).