Standard and Vertex Forms

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.

Front

How can you identify the vertex of a parabola in standard form?

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)) from the quadratic equation y = ax^2 + bx + c.

Front

What does it mean if a parabola opens upwards?

Back

A parabola opens upwards if the coefficient 'a' in the equation y = ax^2 + bx + c is positive.

Front

What does it mean if a parabola opens downwards?

Back

A parabola opens downwards if the coefficient 'a' in the equation y = ax^2 + bx + c is negative.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is y = a(x - h)^2 + k, where (h, k) is the vertex.

Front

How do you convert from standard form to vertex form?

Back

To convert, complete the square on the quadratic equation in standard form.

Front

What is the significance of the vertex in a parabola?

Back

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

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c.

Front

How do you find the y-intercept of a quadratic function?

Back

The y-intercept can be found by evaluating the function at x = 0.

Front

What is the formula for the axis of symmetry?

Back

The formula for the axis of symmetry is x = -b/(2a) for the quadratic equation y = ax^2 + bx + c.