Transforming to Standard Form

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

Convert the equation from vertex form to standard form.

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

Change to standard form

f ( x ) = - x ² - 4x

• - ( x + 2 ) ² + 4

• ( x + 2 ) ² + 4

• - ( x - 2 ) ² + 4

• ( x - 2 ) ² + 4

Change to standard form

f ( x ) = 2x ² - 20x + 50

• 2 ( x + 5 ) ²

• 2 ( x - 5 ) ²

• - 2 ( x + 5 ) ²

• - 2 ( x - 5 ) ²

Mathematical Equivalence

ON

Write the standard form of the equation of each line.

• 4x - 3y = -6

• 6x + 4y = -3

• 3x + 2y = -2

• 4x + 3y = -15

Put this into standard form:
y = 3x + 2

• y + 3x = 2

• 3x + y = 2

• -3x + y = 2

• 3x - 2y = 2

Transform this linear equation into STANDARD FORM, Ax + By = C, where "A" is positive.

Mathematical Equivalence

ON

Rewrite the equation into Standard form

• 5x + 8y = 56

• -5x + 8y = 56

• 8x + 5y = 56

• 5x + y = 7

Give the equivalent in standard form f ( x ) = x ² - 10 x + 9

• ( x - 5 ) ² - 16

• ( x + 5 ) ² - 16

• ( x - 5 ) ² - 34

• ( x + 5 ) ² - 34