Vertex Form - Roots & Convert to Standard

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

Which of the following equations is in vertex form?

• f(x) = x² + 6x - 2
• f(x) = (x - 1)² + 2

 $y=-3(x+5)^2-4$  
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

 $y=-5(x+2)^2-10$  
Convert the equation from vertex form to standard form.

• y = -5x² - 20x - 30

• y = -5x² - 4x - 10

• y = 25x² + 100x + 90

• y = 25x² - 10x - 30

 $y=4(x+2)^2-8$ 

Convert the equation from vertex form to standard form. 

•  $y=4x^2+16x+8$  

•  $y=4x^2+16x+16$  

•  $y=16x^2+64x-8$  

•  $y=16x^2+256x+8$  

 $y=-\frac{2}{3}(x-9)^2-2$  
Convert the equation from vertex form to standard form

•  $y=-\frac{2}{3}x^2-12x-52$  

•  $y=-\frac{2}{3}x^2+12x-56$  

•  $y=-\frac{2}{3}x^2+18x-56$  

•  $y=-\frac{2}{3}x^2-18x+52$  

Find the roots of the following equation: y = (x+8)² - 36

• x = 28

• x = -14 and x = -2

• x = 28 and x = -44

• x = -2

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Find the roots of the equation:

y = (x-0)² - 16

• x = 4 and x = -4

• x = 8 and x = -8

• x = 16 and x = -16

• x = 16 and x = 0

Find the roots of the following equation:

y = -1/2(x-11)² + 72

• x = -11 and x = 72

• x = 12 and x = -12

• x = 17 and x = 5

• x = 1 and x = -23

Find the roots of the following equation:

y = -4(x+12)² + 16

• x = -8 and x = -16

• x = 12 and x = 16

• x = -14 and x = -10

• x = - 4 and x = 16