CCSS.Math.Content.HSF.BF.B.3

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.Math.Content.HSF.BF.B.3

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Tags

CCSS.Math.Content.HSF.BF.B.3

g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated down 4.
• f(x) has been translated up 4.

Tags

CCSS.Math.Content.HSF.BF.B.3

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.Math.Content.HSF.BF.B.3

How did the equation shift from the parent function? y = f(x) + d

• Shifted up "d" units
• Shifted down "d" units
• Stretches vertically
• Stretches horizontally

Tags

CCSS.Math.Content.HSF.BF.B.3

16.  Which equation matches the graph?

• -tan(x-π/2)
• -tan(x+π/2)
• cot(x+π/2)
• -cot(x+π/2)

Tags

CCSS.Math.Content.HSF.BF.B.3

What function best describes this graph?

• f(x)= -√(x+4) -2
• f(x)= √(x-4) -2
• f(x)= -√(x-4) -2
• f(x)= √(x+4) +2

Tags

CCSS.Math.Content.HSF.BF.B.3

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Tags

CCSS.Math.Content.HSF.BF.B.3

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

• The graph of f is shifted 12 units to the right to create the graph of g.

• The graph of f is shifted 12 units down to create the graph of g.

• The graph of f is shifted 12 units up to create the graph of g.

• The graph of f is shifted 12 units to the left to create the graph of g.

Tags

CCSS.Math.Content.HSF.BF.B.3

How does the following move from the parent function 
y = |x|
y =  1/2|x| + 3

• Opens Up, Skinnier, Shift down
• Opens Down, Wider, Shift up
• Opens Up, Wider, Shift up
• Opens Down, Skinnier, Shift up

Tags

CCSS.Math.Content.HSF.BF.B.3