Quadratic D1 and D2 Practice

Front

What is a zero of a quadratic function?

Back

A zero of a quadratic function is a value of x that makes the function equal to zero. It represents the x-intercepts of the graph.

Front

How do you find the vertex of a quadratic function in vertex form?

Back

The vertex of a quadratic function in the form y = a(x-h)² + k is (h, k).

Front

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

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.

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-image halves. It can be found using the formula x = -b/(2a).

Front

How do you determine the zeros of a quadratic function?

Back

You can determine the zeros by factoring the quadratic, using the quadratic formula, or by completing the square.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the zeros of a quadratic equation.

Front

What does the discriminant of a quadratic equation tell you?

Back

The discriminant (b² - 4ac) indicates the nature of the roots: if > 0, two distinct real roots; if = 0, one real root; if < 0, no real roots.

Front

What is the vertex of the function y = (x + 4)² - 6?

Back

The vertex is (-4, -6).

Front

What transformation occurs when a quadratic function is vertically compressed?

Back

A vertical compression makes the parabola wider, meaning it opens more gently than the parent function.