11th Grade Final Exam

Front

What does a discriminant of zero indicate about the solutions of a quadratic equation?

Back

It indicates that the graph has exactly 1 solution (or 1 real root).

Front

What is the symbol for a boundary line that includes the points on the line?

Back

Greater than or equal to (≥) or less than or equal to (≤).

Front

How many roots does a parabola have if its discriminant is positive?

Back

It has 2 distinct real roots.

Front

What does a positive discriminant indicate about the roots of a quadratic equation?

Back

It indicates that the graph has 2 distinct real roots.

Front

What does a negative discriminant indicate about the roots of a quadratic equation?

Back

It indicates that the graph has no real roots (the roots are complex).

Front

What is the general form of a quadratic equation?

Back

The general form is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the vertex of a parabola?

Back

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

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.

Front

How do you find the vertex of a parabola given in standard form?

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)).

Front

What is the significance of the leading coefficient (a) in a quadratic function?

Back

If a > 0, the parabola opens upwards; if a < 0, it opens downwards.