Changing Quadratic Forms

A quadratic equation has a vertex form of y = -2(x - 1)² - 2. Which of the following is equivalent to this form?

• y = 2x² - 4x + 4

• y = -2x² + 4x - 4

• y = -2x² - 4x + 4

• y = 2x² + 4x - 4

Identify the form of the quadratic function:

f(x ) = (x + 1)² - 3

• Standard

• Factored

• Vertex

Identify the form of the quadratic function:

f(x) = 3(x + 2)(x - 1)

• Vertex

• Standard

• Factored

Identify the form of the quadratic function:

f(x) = 2x² + 4x + 1

• Vertex

• Standard

• Factored

Convert to standard form:

y = (m - 9)(m + 5)

• y = m² - 4m - 45

• y = m² - 14m - 45

• y = m² + 4m - 45

• y = m² + 14m - 45

Convert f(x) = 4x² - 32x + 2 to vertex form.

• f(x) = 4(x + 4)² - 62

• f(x) = 4(x - 4)² - 62

• f(x) = 4(x - 8)² - 62

• f(x) = 4(x + 8)² - 62

Convert to vertex form.

• y=-(x-5)² + 21

• y=-(x+5)² + 21

• y=-(x+10)² + 21

• y=-(x-10)² + 21

Convert to vertex form.

• y=2(x+3)² - 9

• y=2(x-3)² - 9

• y=2(x+6)² - 9

• y=2(x-6)² - 9

Convert y = (x-5)² -1
to factored form.

• y= (x-4)(x-6)

• y= (4x-2)(x+6)

• y= (x-12)(x+3)

• y = (x-4)(x+6)