Graphing Parabolas in vertex form

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum
• Minimum

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex

Tags

CCSS.HSG.GPE.A.2

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Transformation: 
Which of the following describes the transformation of the graph g(x) = x² + 5 from the parent function? 

• Translate 5 units up
• Translate 5 units down
• Translate 5 units to the right
• Translate 5 units to the left.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Transformation: 
Which describes the transformation of the graph f(x) = x² to the graph of g(x) = 5x² ?

• The graph of g(x) is wider.
• The graph of g(x) is narrower
• The graph of g(x) reflects
• The graph of g(x) is to the right

Tags

CCSS.HSF.BF.B.3

What is the green dashed line called?

• roots or x-intercepts
• parabola
• axis of symmetry
• y intercept

Tags

CCSS.HSF-IF.C.7A

Explain the transformation

y= - ( x-1) ² +11

• right 1 , up 11

• reflected, right 1, down 11

• reflected, right 1, up 11

• left 1, up 11

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Explain the transformation

y= 4 ( x+ 5) ² +3

• Wider, right 5, up 3

• Thinner, left 5, up 3

• thinner, right 5 up 3

• wider, left 5, up 3

in the formula y= a(x-h)² +k

the -h does what to the parabola ?

• Moves it horizontally - right or left

• Moves it opposite direction - horizontally Right or Left

• moves it vertically

• Makes it wider ( shrink)

Tags

CCSS.HSF.BF.B.3

in the formula y= a(x-h)² +k

the +k does what to the parabola ?

• moves it opposite Up - or Down +

• Moves it up + if positive or Down - if negative

• moves it right or left opposite

• makes it thinner ( stretched)

Tags

CCSS.HSF.BF.B.3