Math II H Completing the Square

What should you do to the coefficient of the linear term to correctly complete the square?

• square it

• divide it by 2 and square the result

• divide it by 2 and take the square root of the result

• divide it by 2 only

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Given the function,

 $f\left(x\right)=x^2-4x+20$ ,
when converting to vertex form, what should be the values of h and k?

 $f\left(x\right)=\left(x-h\right)^2+k$  

Write your solutions separated by a comma.  

(a)  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Find the missing value "c" to create a perfect square trinomial:
x² + 26x + ___ 

• 13
• 136
• 169
• 26

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

 $f\left(x\right)=x^2+6x+10$  

Aftter completing the square, what will be the y-coordinate of the vertex?

• 10

• 6

• -6

• 1

• 7

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

 $f\left(x\right)=x^2-20x+88$  

What will be the x-coordinate of the vertex after completing the square to change into vertex form?

• 100

• -20

• 20

• 10

• -10

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Given the perfect square trinomial, identify the equivalent expression to
 $f\left(x\right)=\ x^2-18x+81$   

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

   Convert to vertex form.

  $f\left(x\right)=5x^2+40x+77$  

• f(x) = 5(x+4)² - 3

• f(x) = 4(x-4)² - 5

• f(x) = 5(x+4)² +3

• f(x) = 5(x-4)² + 157

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

Complete the square and write in Vertex Form: $y\ =\ x^2\ -\ 2x\ -\ 5$ 

•  $y\ =\ \left(x\ -\ 1\right)^2\ -\ 6$  

•  $y\ =\ \left(x\ -\ 1\right)^2\ -\ 5$  

•  $y\ =\ \left(x\ +\ 1\right)^2\ -\ 6$  

•  $y\ =\ \left(x\ +\ 2\right)^2\ -\ 6$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.REI.B.4

   Convert  to vertex form. 

    $f\left(x\right)=4x^2-32x+2$ 

• 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

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

What value should be added to complete the perfect square trinomial?

 $x^2+22x$  

(a)  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2