Quadratic Graphs

Front

What is the vertex of a parabola?

Back

The highest or lowest point of a parabola.

Front

What is the graph of a quadratic function called?

Back

Parabola.

Front

What is the equation for the axis of symmetry of a parabola?

Back

x = -b/(2a), where a and b are coefficients from the quadratic equation ax² + bx + c.

Front

What is the vertex of the parabola represented by the equation y = (x - 3)² - 1?

Back

(3, -1).

Front

What is the axis of symmetry for the parabola y = x² + 4x + 4?

Back

x = -2.

Front

What does the 'a' value in the quadratic equation ax² + bx + c determine?

Back

The direction and width of the parabola (opens upwards if a > 0, downwards if a < 0).

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

How do you find the y-intercept of a quadratic function?

Back

Set x = 0 in the equation y = ax² + bx + c.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the number and type of roots (real and distinct, real and equal, or complex).

Front

What is the formula for the vertex form of a quadratic function?

Back

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