Madison Dec 13 Attributes of Quadratic Functions

Front

What is the range of a parabola that opens upwards with vertex (h, k) = (4, -4)?

Back

−4 ≤ y < ∞

Front

What does the axis of symmetry x = -5 indicate about the parabola's vertex?

Back

The vertex is located at x = -5.

Front

If a parabola has a minimum point, what does that imply about its range?

Back

The range will be y ≥ k, where k is the y-coordinate of the vertex.

Front

What are the x-intercepts of a quadratic function?

Back

The points where the graph intersects the x-axis, found by setting y = 0.

Front

How do you find the vertex of a parabola given the standard form y = ax^2 + bx + c?

Back

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

Front

What is the significance of the 'a' value in the quadratic function y = ax^2 + bx + c?

Back

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

Front

What does it mean if a quadratic function has both a minimum and maximum point?

Back

A quadratic function can only have either a minimum or a maximum, not both.

Front

How can you determine if a quadratic function has a maximum or minimum?

Back

If 'a' is positive, it has a minimum; if 'a' is negative, it has a maximum.

Front

What is the vertex of the function y = 2(x + 1)^2 - 3?

Back

The vertex is (-1, -3).

Front

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

Back

x = -b/(2a) from the standard form y = ax^2 + bx + c.