MII 5.1.4 Parabola Vocabulary

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point on the parabola, depending on its orientation. For example, in the equation y = -4x², the vertex is (-3, -1).

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. It passes through the vertex.

Front

What are the zeros of a parabola?

Back

The zeros, also known as roots, are the x-values where the parabola intersects the x-axis (where y = 0).

Tags

CCSS.HSF-IF.C.7A

Front

How can you determine if a parabola opens upwards or downwards?

Back

If the coefficient of x² in the quadratic equation is positive, the parabola opens upwards. If it is negative, the parabola opens downwards.

Tags

CCSS.HSF-IF.C.7A

Front

What is a maximum value in the context of a parabola?

Back

A maximum value is the highest point on a downward-opening parabola, which occurs at the vertex.

Tags

CCSS.HSF-IF.C.7A

Front

What is a minimum value in the context of a parabola?

Back

A minimum value is the lowest point on an upward-opening parabola, which occurs at the vertex.

Tags

CCSS.HSF-IF.C.7A

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

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

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))) where f(x) is the quadratic function.

Front

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

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

What is the relationship between the vertex and the axis of symmetry?

Back

The vertex lies on the axis of symmetry, which is the line that divides the parabola into two equal halves.