Graphing Quadratic Eq & Complex Number Part 1

Front

What is the vertex of the quadratic function y = x² + 8x - 10?

Back

The vertex is (-4, -26).

Front

In the quadratic equation y = ax² + bx + c, what does 'b' represent?

Back

'b' represents the coefficient of the linear term.

Front

Simplify the expression: 5i + (-10i).

Back

The simplified expression is -5i.

Front

What is the product of (5 + 6i) and (2 - i)?

Back

The product is 16 + 7i.

Front

Factor the quadratic expression x² - 6x + 8 completely.

Back

The factored form is (x - 2)(x - 4).

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

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

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)).

Front

What does the 'i' represent in complex numbers?

Back

The 'i' represents the imaginary unit, where i² = -1.

Front

What is the discriminant of a quadratic equation and what does it indicate?

Back

The discriminant is b² - 4ac; it indicates the nature of the roots.

Front

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

Back

If 'a' (the coefficient of x²) is positive, it opens upwards; if negative, it opens downwards.