Quadratic Functions Vocabulary

Front

What is the domain of a quadratic function?

Back

All real numbers.

Front

What does the axis of symmetry of a quadratic function represent?

Back

It passes through the vertex of the graph.

Front

How can you determine if a quadratic function has a maximum or minimum value?

Back

If the coefficient 'a' is positive, it has a minimum value; if 'a' is negative, it has a maximum value.

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point on the graph, depending on whether it opens up or down.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

What does it mean if a quadratic function opens upwards?

Back

The graph has a minimum point at the vertex.

Tags

CCSS.HSF-IF.C.7A

Front

What does it mean if a quadratic function opens downwards?

Back

The graph has a maximum point at the vertex.

Tags

CCSS.HSF-IF.C.7A

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c.

Front

What is the factored form of a quadratic function?

Back

y = a(x - r₁)(x - r₂), where r₁ and r₂ are the roots.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Front

What is the y-intercept of a quadratic function?

Back

The point where the graph crosses the y-axis, found by setting x = 0.

Tags

CCSS.HSF-IF.C.7A