Graphing Quadratics and Characteristics

Shift f(x)=x² three units to the left and 4 units down

• f(x)=(x+3)²-4

• f(x)=(x-3)²-4

• f(x)=(x+4)²-3

• f(x)=(x-4)²-3

How would you describe the translation from f(x)=x²  to  f(x)=x²+5 ?

• Horizontal translation: five units to the right

• Horizontal translation: five units to the left

• Vertical translation: five units up

• Vertical translation: five units down

What is the equation of the axis of symmetry?

• y = 4

• y = -4

• x = 4

• x = -4

Tags

CCSS.HSF-IF.C.7A

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

What are the coordinates of the vertex, and is it a maximum or minimum?

• (-1, 4); Maximum

• (-1, 4); Minimum

• (4, -1); Maximum

• (4, -1); Minimum

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

What is the significance of the ordered pair (2, -4) to the graph?

• it is the vertex

• it is the y-intercept

• it is the axis of symmetry

• it is the x-intercept

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry?

• 2

• 4

• x = 2

• y = 4

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

A parabola is upside-down when a is:

• negative

• positive

• 0

• infinite

Tags

CCSS.HSF-IF.C.7A