IM2 : Ch 5 practice flashcard

Front

What is the value that completes the square for the expression x^2 + 16x + _?

Back

64

Front

Does the quadratic function y = -x^2 - 2x + 3 have a max/min vertex, and does the parabola open up/down?

Back

max/ opens down

Front

Solve the equation 2x^2 + 2 = 9x. What are the solutions?

Back

Front

Determine the values of a, b, and c for the quadratic equation: 4x^2 – 8x = 3.

Back

a = 4, b = -8, c = -3

Front

Solve the quadratic equation by completing the square: x^2 + 12x + 8 = 0.

Back

x = -6 ± 2√7

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What does it mean for a quadratic function to have a maximum value?

Back

A quadratic function has a maximum value when the parabola opens downwards.

Front

What is the vertex of a parabola given by the equation y = ax^2 + bx + c?

Back

The vertex can be found using the formula 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 quadratic formula used to find the roots of a quadratic equation?

Back