Representing and comparing transformations

Trapezoid ABCD is translated to trapezoid A'B'C'D'. What algebraic rule describes this transformation?

• (x, y) --> (x + 5, y - 8)

• (x, y) --> (x - 8, y + 5)

• (x, y) --> (x - 8, y - 5)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Which transformations were applied to form the red graph from the blue graph?

• shrink

• stretch

• reflection, compression

• reflection, shrink

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Definition: The figure after a transformation has occurred.

• image

• pre-image

Tags

CCSS.HSG.CO.A.5

Given f(x) = -x² , how did we transform from the parent function?

• Horizontal shift left

• Reflection over the x-axis

• Vertical shift down

• Vertical compression

Tags

CCSS.HSF.BF.B.3

What would the equation for the new quadratic function be if it was horizontally shifted right 1 unit  from the function f(x)=x²+4?

• g(x)=x²+5
• g(x)=(x+1)²+4
• g(x)=(x-1)²+4
• g(x)=x²+3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.B.3

Identify the transformation.

• Translation 5 units right, 1 unit up

• Translation 5 units left, 1 unit down

• Translation 5 units left, 1 unit up.
• Translation 5 units right, 1 unit down

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Which coordinate notation correctly describes a transformation that maps the black triangle to the gray triangle?

• The rotation (x, y) → (-x, -y)

• The translation (x, y) → (x + 6, y - 2)

• The rotation (x, y) → (-y, -x)

• The translation (x, y) → (x + 4, y - 8)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

The original shape BEFORE a transformation is called the ​ (a)   and the new shape AFTER a transformation is called the ​ (b)   .

• preimage
• image
• preshape
• postshape

Write the translation of point P(2, -9) to point P’(0,-12).

• (x, y)--> (x-3,y-2)

• (x, y)--> (x+3,y+2)

• (x, y)--> (x+2,y+3)

• (x, y)--> (x-2,y-3)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Analyze the given translation and provide the algebraic representation. Be careful to pay attention to which is the original figure.

• (x-5, y+4)

• (x+5, y-4)

• (x-4, y+5)

• (x-5, y-4)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7