Basic quadratic equations

Front

Identify b of the quadratic equation: 2x² − 4x − 2 = 0

Back

-4

Front

What is the y-intercept of the parabola represented by the equation y = 2x² - 4x + 7?

Back

y = 7

Front

The graph of a quadratic function is called?

Back

a parabola

Front

What is the y-intercept of the graph of the equation y = 3x² - 8?

Back

0

Front

Which of the following is NOT a quadratic function: f(x) = -3x², f(x) = -5x - x², y = 3x³ - 4x + 5, A = πr²?

Back

y = 3x³ - 4x + 5

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does the 'a' in the quadratic equation y = ax² + bx + c represent?

Back

The coefficient that determines the direction and width of the parabola.

Front

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

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the axis of symmetry in a quadratic function?

Back

The vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).

Front

What is the discriminant in a quadratic equation and what does it determine?

Back

The discriminant is b² - 4ac; it determines the nature of the roots (real and distinct, real and equal, or complex).