Quadratic Review

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 convert a quadratic equation to vertex form?

Back

To convert to vertex form, complete the square on the quadratic equation.

Front

What does the 'a' value in the vertex form indicate?

Back

The 'a' value indicates the direction of the parabola (upward if a > 0, downward if a < 0) and its width (narrower if |a| > 1, wider if |a| < 1).

Front

What transformation occurs when the quadratic function is multiplied by a factor greater than 1?

Back

The function becomes narrower.

Front

What transformation occurs when a quadratic function is shifted to the left?

Back

The function is represented as f(x + k) where k > 0.

Front

What transformation occurs when a quadratic function is shifted up?

Back

The function is represented as f(x) + k where k > 0.

Front

How do you find the vertex of a quadratic equation in standard form?

Back

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

Front

What is the effect of adding a constant to a quadratic function?

Back

Adding a constant shifts the graph vertically.

Front

What is the effect of subtracting a constant from a quadratic function?

Back

Subtracting a constant shifts the graph vertically down.

Front

What is the vertex of the quadratic equation y = x² - 24x + 151?

Back

The vertex is (12, 7).