Vertex Form - Quadratics - Parabolas

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What does the 'a' coefficient in the vertex form of a quadratic equation indicate about the parabola's direction?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is 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 divides the parabola into two mirror-image halves.

Front

What are the x-intercepts of a parabola?

Back

The x-intercepts are the points where the parabola crosses the x-axis.

Front

True or False: The domain of a quadratic function is all real numbers.

Back

True.

Front

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

Back

The range is all real numbers greater than or equal to the y-coordinate of the vertex.

Front

What is a real-life example of a parabola?

Back

Examples include the shape of a satellite dish or the path of a thrown ball.

Front

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

Back

The vertex is directly given by the values of h and k in the equation y = a(x - h)² + k.