FIND THE VERTEX USING THE VERTEX FORMULA

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How do you find the x-coordinate of the vertex from a quadratic equation in standard form?

Back

For a quadratic equation in standard form y = ax² + bx + c, the x-coordinate of the vertex can be found using the formula x = -b/(2a).

Front

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

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens (upward or downward).

Front

Given the quadratic equation y = x² + 6x + 8, what is the vertex?

Back

The vertex is (-3, -1).

Front

What is the formula to find the y-coordinate of the vertex after determining the x-coordinate?

Back

Substitute the x-coordinate back into the original quadratic equation to find the y-coordinate.

Front

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

Back

If the coefficient 'a' in the quadratic equation y = ax² + bx + c is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the vertex of the quadratic function f(x) = -2x² + 4x + 1?

Back

The vertex is (1, 3).

Front

How do you convert a quadratic equation from standard form to vertex form?

Back

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

Front

What is the vertex of the quadratic function f(x) = x² - 4x + 4?

Back

The vertex is (2, 0).

Front

What does the vertex represent in the context of a real-world application?

Back

In real-world applications, the vertex can represent optimal solutions, such as maximum profit or minimum cost.