Standard Quadratic to Perfect Square Trinomial

Complete the square and write the equation in Vertex Form:
f(x) = x²+ 16x + 64

• f(x) = (x - 8)²

• f(x) = (x+16)²

• f(x) = x² + 8

• f(x) = (x+8)²

Convert the equation y= x²-2x-5 into vertex form. 

• y= (x-1)²-6

• y= -(x-1)²-6

• y= (x+1)²-6

• y= -(x+6)²-1

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

• f(x) = (x - 4)² - 15

• f(x) = (x - 4)² + 17

• f(x) = (x - 4)² - 17

• f(x) = (x - 4)² + 65

Write the following quadratic expression in completed square form... x² - 6x - 3

• (x - 3)² - 12

• (x - 3)² - 6

• (x - 3)² + 6

• (x - 3)² + 3

Tags

CCSS.HSA-REI.B.4B

Write the following quadratic expression in completed square form... x² - 6x + 4

• (x - 3)² - 5

• (x - 3)² - 13

• (x - 3)² + 5

• (x - 3)² + 4

Tags

CCSS.HSA-REI.B.4B

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)

• (-3,4)

• (3, -4)

• (-3,-4)

Solve the following quadratics equation by completing the square... x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Tags

CCSS.HSA-REI.B.4B

Which TWO methods could be used to solve this equation?

x² + 2x = -9

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Tags

CCSS.HSA-REI.B.4B