Quadratics Review (axis of symmetry, vertex)

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

How do you find the axis of symmetry for a quadratic function?

Back

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

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it means the vertex is a minimum point and the value of 'a' in the equation is positive.

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it means the vertex is a maximum point and the value of 'a' in the equation is negative.

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept of a quadratic function is the point where the graph intersects the y-axis, found by evaluating f(0).

Front

How can you determine if a vertex is a maximum or minimum?

Back

You can determine if a vertex is a maximum or minimum by looking at the sign of 'a' in the quadratic equation: if 'a' is positive, it's a minimum; if 'a' is negative, it's a maximum.

Front

What is the general shape of a parabola?

Back

The general shape of a parabola is a U-shape, which can open upwards or downwards.

Front

What is the formula for the vertex of a parabola in standard form?

Back

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

Front

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

Back

The vertex represents the maximum or minimum value of the quadratic function and is a key point in graphing the parabola.