Fall Final Exam Integrated 2 Preparation!

Front

What is the inverse trigonometric function used to find an angle from a ratio?

Back

The inverse trigonometric functions (arcsin, arccos, arctan) are used to find angles from given ratios.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation ax² + bx + c = 0.

Front

How do you complete the square for the expression x² + 12x?

Back

To complete the square, add (12/2)² = 36. The completed square is x² + 12x + 36.

Front

What is a parabola?

Back

A parabola is a U-shaped curve that represents the graph of a quadratic function.

Front

What are the solutions of the equation y = x² - 8x + 2?

Back

The solutions are approximately x = 0.258 and x = 7.742.

Front

What does it mean if a quadratic equation is not factorable?

Back

It means that the equation cannot be expressed as a product of two binomials, and the quadratic formula must be used to find the solutions.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

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

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form ax² + bx + c.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac and determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.