CONVERTING FROM THREE DIFFERENT FORMS OF QUADRATIC FUNCTIONS WORKSHEET

Converting From Standard Form

Convert the quadratic function from standard form to

i) Vertex form

ii) Factored form

Problem 1 :

y = x² - 8x + 15

Solution

Problem 2 :

y = x² - 4x

Solution

Problem 3 :

y = x² + 4x + 3

Solution

Problem 4 :

y = 3x² - 6x + 3

Solution

Problem 5 :

y = x² + 6x + 5

Solution

Converting From Factored Form

Convert the quadratic function from factored to

i) Standard form

ii) Vertex form

Problem 6 :

y = (x + 4)(x + 3)

Solution

Problem 7 :

y = -2(x + 2)(x - 1)

Solution

Problem 8 :

y = 3(2x - 1)(x - 1)

Solution

Problem 9 :

y = (5x + 1)(x - 3)

Solution

Problem 10 :

y = (x - 10)(x - 6)

Solution

Converting From Vertex Form

Convert the quadratic function from vertex form to

i) Standard form

ii) Factored form

Problem 11 :

y = (x - 4)² - 9

Solution

Problem 12 :

y = (x + 2)² - 9

Solution

Problem 13 :

Solution

Problem 14 :

Solution

Problem 15 :

Solution