Identify Quadratic Forms

Convert
 f(x) = 2(x - 2)² +9
to standard form.

• f(x) = 2x² + 8x + 9

• f(x) = 2x² - 8x - 4

• f(x) = 2x² - 8x + 17

• f(x) = 2x² - 8x + 8

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:

• 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) = 3x²+ 6x - 5 to vertex form.

• f(x) = 3(x + 1)² - 8

• f(x) = 3(x - 1) ² - 8

• f(x) = 3(x + 2)² - 8

• f(x) = 3(x - 2)² - 8

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