Forms of Quadratic Equations (Original)

Convert to standard form: 

 $y=\left(x+5\right)^2-15$  

•  $y=x^2+10$  

•  $y=x^2+10x\ +10$  

•  $y=x^2+25$  

•  $y=x^2+10x+25$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Convert to standard form:

  $y=-2\left(x-3\right)^2+6$  

•  $y=-2x^2+12x-12$  

•  $y=-2x^2+6x+15$  

•  $y=-2x^2+12x-18$  

•  $y\ =\ -2x^2-12$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Convert to standard form: 

 $y=\frac{1}{5}\left(x+10\right)^2-12$  

•  $y=\frac{1}{5}x^2+8$  

•  $y=x^2+4x+8$  

•  $y=\frac{1}{5}x^2+4x+8$  

•  $y=\frac{1}{5}x^2+20$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

What is the vertex of this function?

f(x) = 2(x - 5)² + 12

• (-5, -12)

• (5,-12)

• (5, 12)

• (-5, 12)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the y-intercept of this function?

f(x)=2x² + 4x + 6

• (6 , 0)

• (-6 , 0)

• (0, -6)

• (0 , 6)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Convert to standard form:

y = (m - 9)(m + 5)

• y = m² - 4m - 45

• y = m² - 14m - 45

• y = m² + 4m - 45

• y = m² + 14m - 45

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the vertex of this function?

• (-1, 0)

• (0, -6)

• (1, -8)

• (3, 0)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Convert the function to standard form:

f(x) = -2(x + 9)(x - 3)

• f(x) = -2x² - 12x + 54

• f(x) = x² + 6x - 27

• f(x) = 2x² + 12x - 54

• f(x) = -x² - 6x + 27

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert the function to standard form:

y = (x + 7)(x + 5)

• y = 2x² + 35x + 12

• y = x² + 35x + 12

• y = 2x² + 12x + 35

• y = x² + 12x + 35

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert the function to standard form:

f(x) = -3(x + 5)(x - 4)

• f(x) = 3x² + 3x - 60

• f(x) = -3x² - 3x + 60

• f(x) = x² + x - 20

• f(x) = -x² - x + 20

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3