Vertex Form of Quadratic Equations
A Grade 12 Math worksheet focusing on understanding, converting, and applying the vertex form of quadratic equations.
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Vertex Form of Quadratic Equations
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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?
y = 2x² + 3x - 1
y = (x + 4)(x - 2)
y = -3(x - 5)² + 7
y = x² - 9
2. For the equation y = 4(x + 1)² - 3, what are the coordinates of the vertex?
(1, -3)
(-1, -3)
(1, 3)
(-1, 3)
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.
1. y = x² + 4x + 3
a. y = (x - 3)² - 1
2. y = x² - 6x + 8
b. y = (x + 2)² - 1
3. y = x² + 2x - 3
c. y = (x + 1)² - 4