Linear/Quad Transformations

Which transformation on

f(x) = x

is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

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.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did the equation shift from the parent function? y = f(x - 4)

• Shift right by 4

• Shift left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

• Shift down by 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did the equation shift from the parent function? y = 4f(x - 3)

• Steeper and right 3
• Less steep and down 3
• Steeper and left 3
• Down

Tags

CCSS.HSF.BF.B.3

How did the equation shift from the parent function?
y = 3f(x) - 2

• less steep and translate down 2
• Translate up 2
• Translate down 2
• steeper and translate down 2

Tags

CCSS.HSF.BF.B.3

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

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Match the equation to its description.

• Stretched by 2 and up 4
• Compressed by 2 and up 4
• Stretched by 2 and left 4
• Compressed by 2 and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Match the equation to its description.

• Stretched by 4 and up 4
• Compressed by 4 and up 4
• Stretched by 4 and left 4
• Compressed by 4 and left 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4