Parent Function Transformations & Composite Function Calculation 2019

• y=(x² -2) +1

• y=(x-2)²+1

• y=(x+1)²-2

• y=|x+2| +1

Tags

CCSS.HSF-IF.C.7A

• y=3|x+2|-2

• y=⅓|x-2|-2

• y=3(x-2)²-2

• y=3|x-2|-2

Tags

CCSS.HSF-IF.C.7D

• Horizontal Translation of -3, Vertical Dilation of -3

• Horizontal Translation of +3, Horizontal Dilation of -3

• Horizontal Translation of +3, Vertical Dilation of -3

• Horizontal Dilation of -3, Vertical Translation of -3

• Horizontal Translation of -3, Vertical translation of +1, Vertical Dilation by a factor of 2

• Horizontal Translation of +3, Vertical Translation of -1, Vertical Dilation by a factor of -1

• Horizontal Translation of +3, Vertical Translation of +1, Horizontal Dilation by a factor of -1

• Horizontal Translation of -3, Vertical Translation of +1, Vertical Dilation by a factor of -1

What are the transformations?

y=3(x-4)²?

• Horizontal translation of -4, Vertical Translation of 3

• Horizontal translation of +4, Vertical Dilation by a factor of 3

• Horizontal Translation of +4, Vertical Dilation by a factor of ⅓

• Horizontal Dilation by a factor of 4, Vertical translation of 3

Describe the transformation of y = f(x) for the new function

f(x) = 5x² + 2

• Vertical Dilation by a factor of 5, Vertical Translation of +2

• Vertical Dilation by a factor of 5, Horizontal Translation of +2

• Vertical Dilation by a factor of 5, Horizontal Translation of -2

• Horizontal Dilation by a factor of 5, Horizontal Translation of +2

Given g(x)= -3x and f(x)=x²+2, find f(g(x)). 

• f(g(x))= -3x²-6
• f(g(x))= -3x²+2
• f(g(x))=9x²+2
• f(g(x))= -9x²+2

Tags

CCSS.HSF-BF.A.1C

Given g(x)= -3x and f(x)=x²+2, find g(f(x)).

• g(f(x))= -9x²+2

• g(f(x))= -3x²+2

• g(f(x))=9x²+2

• g(f(x))= -3x²-6

Tags

CCSS.HSF-BF.A.1C

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

• f(g(x))= -6x²+24

• f(g(x))=-6x²+31

• f(g(x))=18x²-84x+6

• f(g(x))=9x²-42x-1

Tags

CCSS.HSF-BF.A.1C

Given f(x)= -3x+7 and g(x)=2x² - 8, find g(f(x)).

• g(f(x))= -6x²+31
• g(f(x))= -6x²+24
• g(f(x))=18x²-84x+90
• g(f(x))=9x²-42x-41

Tags

CCSS.HSF-BF.A.1C