Transformations of Parabolas

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

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

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.

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

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

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)

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)

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