Features of Quadratic Graphs

Front

What is the vertex of a quadratic equation?

Back

The vertex is the highest or lowest point of the parabola, represented as (h, k) in the vertex form y = a(x - h)² + k.

Front

What is the standard form of a quadratic equation?

Back

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

Front

What does the 'a' value in a quadratic equation indicate?

Back

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

Tags

CCSS.HSF-IF.C.7A

Front

What are the roots or x-intercepts of a quadratic function?

Back

The roots or x-intercepts are the points where the graph intersects the x-axis, found by solving the equation y = 0.

Tags

CCSS.HSF-IF.C.7A

Front

How do you find the axis of symmetry of a parabola?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form of the quadratic equation.

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, represented as (-∞, ∞).

Front

What is the range of a quadratic function that opens upwards?

Back

The range is [k, ∞) where k is the y-coordinate of the vertex.

Tags

CCSS.HSF-IF.C.7A

Front

What is the significance of the vertex in a quadratic graph?

Back

The vertex represents the maximum or minimum value of the function, depending on the direction of the parabola.

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

If the 'a' value is positive, the parabola opens upwards; if negative, it opens downwards.

Tags

CCSS.HSF-IF.C.7A

Front

What is the formula to find the vertex from the standard form of a quadratic equation?

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h).