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.C.7A

The axis of symmetry line passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

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

Does this graph show a maximum or a minimum?

• Maximum

• Minimum

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

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)

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)

How can you tell whether a parabola opens up or opens down by looking at the equation?

• The vertex tells you the direction of the opening

• The value of "a" tells you the direction of the opening.

• All parabolas open upward

• All parabolas open downward

The equation of red graph is y = x². What is the equation of the blue graph?

• y = (x + 5)²

• y = (x - 5)²

• y = x² - 5

• y = x² + 5