Vertex Form - Quadratics

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

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

Back

The parameter 'a' determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

How do you find the vertex from the vertex form equation y = a(x - h)² + k?

Back

The vertex is the point (h, k) in the equation.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that passes through the vertex of the parabola, given by the equation x = h.

Front

What effect does changing 'a' have on the graph of the quadratic function?

Back

Changing 'a' affects the width and direction of the parabola. A larger absolute value of 'a' makes the parabola narrower, while a smaller absolute value makes it wider.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c.

Front

How can you convert from standard form to vertex form?

Back

You can convert from standard form to vertex form by completing the square.

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.

Front

What happens to the graph of y = x² when 'x' is multiplied by a negative number?

Back

The graph opens downward, creating a maximum point at the vertex.

Front

If the vertex of a quadratic function is (2, 3), what is the vertex form of the equation if 'a' = 1?

Back

The vertex form is y = 1(x - 2)² + 3.