Transformations of Parabolas

What transformation happens here: y = (x - 5)² - 3?

• The graph is shifted to the right 5 units and down 3 units

• The graph is shifted right 3 units and down 5 units

• The graph is shifted left 5 units and down 3 units

• The graph is shifted left 3 units and up 5 units

What transformations are occurring to the following quadratic y = -x²+3

• left 3

• reflects across x axis, down 3

• reflects across x axis, up 3

• More Narrow (stretches)

• More Wide (compresses)

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

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.

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

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