5th Six Weeks Vocabulary Test

Front

What is the equation of a parabola in the vertex form?

Back

The equation of a parabola in vertex form is given by y = a(x – h)² + k, where (h, k) is the vertex.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that passes through the vertex of the parabola, given by the equation x = \frac{-b}{2a}.

Front

What does the vertex of an upward parabola represent?

Back

The vertex of an upward parabola represents the minimum point.

Front

What does it mean to square a term in mathematics?

Back

To square a term means to multiply it by itself, resulting in a second degree term.

Front

What is the highest or lowest point on a parabola called?

Back

The highest or lowest point on a parabola is called the vertex.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is given by y = ax² + bx + c.

Front

What is the significance of the coefficient 'a' in the quadratic equation?

Back

The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upward; if 'a' is negative, it opens downward.

Front

What is the difference between maximum and minimum in the context of a parabola?

Back

Maximum refers to the highest point of a downward-opening parabola, while minimum refers to the lowest point of an upward-opening parabola.

Front

What is the formula to find the vertex of a parabola given in standard form?

Back

The vertex (h, k) can be found using h = \frac{-b}{2a} and k = f(h), where f(x) is the quadratic function.

Front

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

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, there are two distinct real roots; if zero, one real root; if negative, no real roots.