Vertex Form & Transformations

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

What is the vertex of the equation
y= (x+12)²-7 ?

• (12,-7)
• (-12, 7)
• (7,12)
• (-12, -7)

What effects does "k" have on the parent function?

• Vertical stretch/compression
• Horizontal shifts (left/right)
• Vertical shifts (up/down)

An "a" value of -1/3 will make the parabola _______ compared to the graph of the parent function f(x)=x²

• There is no change
• vertically stretched
• vertically compressed
• horizontally compressed

Compared to the parent function, what effect does the 5 have in  f(x)=5(x+3)²-10 ?

• Vertical Stretch
• Vertical Compression

Tags

CCSS.HSF.BF.B.3

Which variable, when negative, can cause the parent function to reflect across the x-axis (face downwards)?

• a
• h
• k

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

What is the range of  y= (x + 5)² - 8
(hint: make a sketch first)

• y ≥ -5
• y ≥ 5
• y ≥ 8
• y ≥ -8

What's the domain and range? 

• D: All Real Numbers 
  R: y≤6
• D: x≥6 
  R: All Real Numbers
• D: All Real Numbers
  R: y≥6
• D: x≤6
  R: All Real Numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5