Vertex Form of Quadratic Equations

Vertex Form of Quadratic Equations

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

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

2. When 'a' in the vertex form is negative, the parabola opens  .

3. The   of the parabola is x = h.

1. Which of the following quadratic equations is in vertex form?

2. For the equation y = 4(x + 1)² - 3, what are the coordinates of the vertex?

1. Convert the quadratic equation y = x² - 6x + 5 into vertex form. Show all steps.

2. Given the quadratic equation y = -2(x + 3)² + 1, identify the vertex, axis of symmetry, and direction of opening.

Graph the following quadratic equation by identifying its vertex and at least two other points.

y = (x - 2)² - 4

Match each quadratic equation in standard form with its equivalent vertex form.