CHARACTERISTICS OF QUADRATIC FUNCTIONS

Front

What is a parabola?

Back

The U-shaped graph of a quadratic function.

Tags

CCSS.HSF-IF.C.7A

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point on the graph of a quadratic function.

Front

What is the domain of a quadratic function?

Back

All real numbers (-∞ < x < ∞).

Front

What is the range of a quadratic function that opens upwards?

Back

The set of all y-values greater than or equal to the vertex's y-coordinate.

Tags

CCSS.HSF-IF.C.7A

Front

What is the y-intercept of a quadratic function?

Back

The point where the graph intersects the y-axis (x=0).

Tags

CCSS.HSF-IF.C.7A

Front

How do 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 does the 'a' value in a quadratic function ax^2 + bx + c indicate?

Back

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

Tags

CCSS.HSF-IF.C.7A

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

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

Back

It determines the number and type of roots: positive (two real roots), zero (one real root), negative (no real roots).

Tags

CCSS.HSA-REI.B.4B

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c.