Quadratic Function Characteristics

Front

What is the vertex of the quadratic function y=-x² + 4?

Back

(0, 4)

Front

Does the function f(x) = x² - 12x + 35 have a maximum or minimum?

Back

Minimum

Front

What is the range of the function y = 2x² - 4x - 1?

Back

y ≥ -3

Front

What is the domain of the function y = -x² + 6x - 6?

Back

All real numbers

Front

Find the vertex of the function f(x) = x² - 12x + 35.

Back

(6, -1)

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What does the 'a' value in a quadratic function determine?

Back

The direction of the parabola (upward if a > 0, downward if a < 0).

Front

What is the axis of symmetry in a quadratic function?

Back

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

Front

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

Back

Set x = 0 and solve for f(0).

Front

What is the significance of the vertex in a quadratic function?

Back

It represents the maximum or minimum point of the parabola.