Converting Quadratics into Standard Form

The standard form of a quadratic function is

• y = ax² + bx + c

• a(x - h)² + k

• y - y₁ = m(x - x₁)

• Ax + By = C

Which equation is the standard form of a quadratic function?

• f(x) = mx + b

• f(x) = a(x - m)(x - n)

• f(x) = ax² + bx + c

• f(x) = a(x - h)² + k

Convert to Vertex Form:

f(x) = x² +8x +14

• f(x) = (x - 4)² + 2

• f(x) = (x - 4)² - 2

• f(x) = (x + 4)² + 2

• f(x) = (x + 4)² - 2

• F

• G

• H

• J

Convert the function to standard form:

f(x) = -3(x + 5)(x - 4)

• f(x) = 3x² + 3x - 60

• f(x) = -3x² - 3x + 60

• f(x) = x² + x - 20

• f(x) = -x² - x + 20

Mathematical Equivalence

ON

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 to Standard Form: y = (x-3)²+5

• y = x²-3x+5

• y = x²-6x+14

• y = x²-6x+9

• y = x²+6x+14

Convert the function to standard form:

y = (x + 7)(x + 5)

• y = 2x² + 35x + 12

• y = x² + 35x + 12

• y = 2x² + 12x + 35

• y = x² + 12x + 35

Put 2x² = 3x - 4 in standard form

• 2x² + 3x - 4 = 0

• 2x² - 3x + 4 = 0

• 2x² - 3x - 4 = 0

• 2x² + 3x + 4 = 0