Review of Graphing Quadratics in Vertex and Standard Form

Front

What is the standard form of a quadratic equation?

Back

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

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 of the parabola.

Front

How do you find the axis of symmetry for a quadratic equation in standard form?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form y = ax² + bx + c.

Front

What is the vertex of the quadratic function f(x) = (x - 3)² + 2?

Back

The vertex is (3, 2).

Front

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

Back

The 'a' value indicates the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is the significance of the 'k' value in the vertex form of a quadratic?

Back

The 'k' value represents the vertical shift of the parabola; it indicates how far the graph moves up or down.

Front

What is the maximum or minimum point of a quadratic called?

Back

The maximum or minimum point of a quadratic is called the vertex.

Front

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

Back

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

Front

What is the general shape of a quadratic graph?

Back

The graph of a quadratic function is a parabola.

Front

What is the formula to convert from vertex form to standard form?

Back

To convert from vertex form y = a(x - h)² + k to standard form, expand the equation to get y = ax² - 2ahx + (ah² + k).