Factored to Standard Form of Quadratic

Write a + or a - sign in each box so the expressions on each side of the equal sign are equivalent.

• +,+

• +,-

• -, +

• -, -

Match each quadratic expression in standard form with its equivalent expression in factored form.

• (x+5)(x+7)

• (x+5)(x-7)

• (x-5)(x+7)

• (x-5)(x-7)

Multiply (x+2)(x+2). You can double distribute or use the diagram we learned!

Convert
 f(x) = 3(x - 5)² - 1 
to standard form.

• f(x) = 3x² -30x + 74

• f(x) = 3x² -10x + 24

• f(x) = 3x² -30x + 24

• f(x) = 3x² -30x + 75

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

Identify the form of the quadratic function:

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

Write the factored form of the quadratic equation 2x^2 - 5x - 3.

• (2x + 1)(x + 3)

• (2x + 1)(x - 3)

• (2x - 1)(x - 3)

• (2x - 1)(x + 3)

Write the factored form of the quadratic equation 2x^2 + 7x + 3.

• (2x + 1)(x + 3)

• (2x + 2)(x + 3)

• (2x + 3)(x + 1)

• (2x + 1)(x + 2)