Equations of Parabolas

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex?

• (4,-4)
• (2,0)
• (0,2)
• (6,0)

Tags

CCSS.HSA.REI.B.4

• (5, 4)

• (-5, 4)

• (-5, -3)

• (-3, -5)

Tags

CCSS.HSG.GPE.A.2

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

Tags

CCSS.HSF-IF.C.7A

• Opens left

• Opens right

• Opens up 

• Opens down

Tags

CCSS.HSF-IF.C.7A

What is the vertex of the following equation
y = 2(x − 3)² + 4

• (3, 4)
• ( −3, 4)
• (2, 4)
• (3, 2)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write the equation of a parabola with a vertex at (3, -6) that opens up and it is stretched vertically by a factor of 4.

• y = 4(x - 3)² + 6

• y = 4(x - 3)² – 6

• y = 4(x + 3)² – 6

• y = - 4(x - 3)² – 6

Write the equation of a parabola with a vertex at (-5, -7) that opens downward and it is compressed verticaly by a factor of 1/2.

•  y = ½ (x + 5)2 – 7

•  y = ½ (x + 5)2 + 7

•  y = - ½ (x - 5)2 - 7

• y = -½ (x + 5)² – 7

Tags

CCSS.HSA.CED.A.2

Write the equation of a parabola in vertex form with a vertex at (-9, 2) that opens up and is stretched vertically by a factor of 3.

• y = - 3(x + 9)² + 2

• y = 3(x + 9)² - 2

• y = 3(x + 9)² + 2

  
  

• y = - 3(x + 9)² - 2

Tags

CCSS.HSG.GPE.A.2

Write the equation of a parabola in vertex form with a vertex at (6, -4) that opens down and is compressed vertically by a factor of ¼ .

• y = -¼ (x – 6)² + 4

• y = -¼ (x – 6)² – 4

• y = ¼ (x – 6)² – 4

• y = -¼ (x + 6)² – 4