Writing Quadratics Given Vertex and a Point

Front

What is the equation in vertex form?

Back

The equation in vertex form is y = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, represented as the point (h, k) in the vertex form.

Front

How do you find the value of 'a' in the vertex form of a quadratic?

Back

You can find 'a' by using another point on the parabola and substituting the coordinates into the vertex form equation.

Front

What does the 'h' represent in the vertex form equation?

Back

In the vertex form y = a(x - h)² + k, 'h' represents the x-coordinate of the vertex.

Front

What does the 'k' represent in the vertex form equation?

Back

In the vertex form y = a(x - h)² + k, 'k' represents the y-coordinate of the vertex.

Front

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

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

How do you convert standard form to vertex form?

Back

You can convert standard form (y = ax² + bx + c) to vertex form by completing the square.

Front

What is the standard form of a quadratic equation?

Back

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

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, given by the equation x = h.

Front

How do you determine the direction of a parabola?

Back

The direction of a parabola is determined by the sign of 'a' in the vertex form; if 'a' is positive, it opens upward, and if negative, it opens downward.