Quadratics - Vertex Form

Front

What is the vertex form of a quadratic equation?

Back

Front

What does the variable 'h' represent in the vertex form of a quadratic equation?

Back

'h' represents the x-coordinate of the vertex and also indicates the axis of symmetry of the parabola.

Front

How does changing the value of 'a' in the vertex form affect the graph of the quadratic?

Back

Changing 'a' affects the width and direction of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards. A larger absolute value of 'a' makes the parabola narrower.

Front

Back

The vertex of the parabola is (3, 4).

Front

How do you find the axis of symmetry from the vertex form of a quadratic equation?

Back

Front

What is the effect of the '+ k' in the vertex form of a quadratic equation?

Back

'k' represents the vertical shift of the parabola. If 'k' is positive, the graph shifts up; if 'k' is negative, it shifts down.

Front

Which of the following is NOT a quadratic equation in vertex form? y = 3(x - 2)^2 + 1, y = x^2 + 4x + 4, y = -2(x + 1)^2 - 3

Back

y = x^2 + 4x + 4 is not in vertex form; it is in standard form.

Front

If the vertex of a parabola is at (h, k), what is the minimum or maximum value of the quadratic function?

Back

Front

What is the relationship between the vertex and the direction of the parabola?

Back

The vertex indicates the highest or lowest point of the parabola. If the parabola opens upwards, the vertex is the minimum point; if it opens downwards, the vertex is the maximum point.

Front

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

Back