Completing the Square

When Completing the Square what number would appear inside the bracket with x ?

 $x^2\ +\ 8x\ -\ 5\ =\ 0$  

• + 4

• - 4

• + 8

• + 64

• - 5

When Completing the Square what should we always do with the bracket?

• Square it

• Double it

• Halve it

• Subtract it

• None of these

When Completing the Square what should we always do with the number we have put into the bracket?

• Square it and subtract it after the bracket

• Square it and add it after the bracket

• Double it and subtract it after the bracket

• Double it and add it after the bracket

• None of these

When Completing the Square what form should our final answer take?

• (x + a)² + b

• (x² + a) + b

• (x² + a)² + b

• none of these

When Completing the Square to find the minimum point of a Curve, which value refers to the y - coordinate in this example?

(x + a)² + b

• a

• b

• -a

• -b

When Completing the Square to find the minimum point of a Curve, which value refers to the x - coordinate in this example?

(x + a)² + b

• a

• b

• -a

• -b

• x

When Completing the Square to find the minimum point of this quadratic curve, what is the minimum value the y-coordinate can take?

(x + 4)² - 21

• +4

• -4

• +21

• -21

When Completing the Square to find the minimum point of this quadratic curve, what is the x - coordinate at the minimum point?

(x + 8)² - 3

• +8

• -8

• +3

• -3

You may need a file page to work out:

Complete the Square, leaving your answer in the form:

(x + a)² + b

y = x² + 6x - 3

• (x + 3)² - 12

• (x - 3)² - 12

• (x - 3)² + 12

• (x + 6)² - 39

You may need a file page to work out:

Complete the Square, leaving your answer in the form:

(x + a)² + b

y = x² - 2x - 5

• (x + 1)² - 6

• (x - 1)² - 6

• (x - 2)² - 9

• (x + 4)² - 21