Ch. 3 Graphing Quadratic Functions

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as (0, f(0)).

Front

What is the intercept form of a quadratic function?

Back

The intercept form is f(x) = a(x - p)(x - q), where p and q are the x-intercepts.

Front

How can you identify the vertex of a quadratic function from its equation in vertex form?

Back

In vertex form, y = a(x - h)^2 + k, the vertex is the point (h, k).

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph intersects the x-axis, found by solving f(x) = 0.

Front

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

Back

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

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

How do you convert from standard form to vertex form?

Back

You can convert by completing the square.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror images, given by x = -b/(2a).

Front

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

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: two real roots, one real root, or no real roots.

Front

How do you find the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value occurs at the vertex, calculated as f(h) where h = -b/(2a).