Transformations Pre Assessment

Identify the transformation.

• Reflection across y-axis

• 90 Rotation counter clockwise

• Translation 5 units left, 1 unit up.

• Translation 5 units right, 1 unit down

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

When translating or reflecting a pre-image, the image is

• congruent

• similar

• a different shape

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What transformations have been made for the following graph with equation y=2(x+1)²-3?

• Shifted right 1 and down 3, vertical compression of ½

• Shifted left 1 and down 3, horizontal compression of ½

• Shifted left 3 and down 1, vertical stretch of 2

• Shifted left 1 and down 3, vertical stretch of 2

What is the parent function of this graph?

What is the new equation if y=2^x is shifted left 1 and down 2?

• y=2^1x-2

• y=2(^x-2)+1

• y=1(2^x)-2

• y=2^(x+1)-2

Tags

CCSS.HSF.BF.B.3

What is the equation of this graph?

• y=x²+6

• y=(x-3)²+2

• y=2(x+3)²

• y=(x+2)+3

Tags

CCSS.HSF-IF.C.7A

• F

• G

• H

• J

Describe the transformation of y = x² + 4 from the function y=x²

• Horizontal shift right 4 units

• Horizontal shift left 4 units

• vertical shift up 4 units

• vertical shift down 4 units

Answer explanation

Addition outside of parentheses.

Describe the transformation of y = (x - 4)² from the function y = x²

• vertical shift up 4 units

• vertical shift down 4 units

• horizontal shift left 4 units

• horizontal shift right 4 units

Answer explanation

Subtraction inside parentheses.

Pablo throws a ball with a path of y = -5(x - 2)². Maria throws a ball with a path of y = -5(x - 2)² + 10. Which description is reasonable for the difference in the two equations?

• Maria throws the ball 10 times harder than Pablo does.

• Maria starts her ball at a height 10 feet higher than Pablo does.

• Pablo throws the ball 10 times harder than Maria does.

• Pablo starts his ball at a height 10 feet higher than Maria does.

Answer explanation

Maria has +10 outside of parentheses compared to Pablo.