Vertical and Horizontal Stretches and Compressions

• Stretch by a factor of 2

• Compress by a factor of 0.75

• Reflect across the x-axis

• Both stretch by a factor of 2 and reflect across the x-axis

• Stretch by a factor of 5

• Reflect across the x-axis

• Both Stretch by a factor of 5 & Reflect across the x-axis

What are the transformations?
y=(x-2)³+4

• Horz shift right 2      Vert shift up 4
• Horz shift left 2    Vert shift up 4
• Horz shift right 2      Vert shift down 4
• Horz shift left 2      Vert shift up 4

Tags

CCSS.HSF.BF.B.3

Find the equation of the transformed graph

• y= |x|

• y=|x| -1

• y= -|x|

• y=|x-1|

Find the equation of the transformed graph

A horizontal stretch...

• moves a graph left or right

• flips a graph upside down

• moves a graph up or down

• makes a graph wider

Given the f(x)=x² and the point (-2, 4), what happens to the point of g(-2), if g(x)=f(¹/₃x)= (¹/₃x)²?

• it becomes (-2, 12)

• it becomes (-6, 4)

• it becomes (^-2/₃, 4)

• it becomes (-2, ⁴/₃)

Given point on a function f(x) is (1, 1), what will the point become for h(x) if h(x)=f(¹/₂x)?

• it becomes (1, ¹/₂)

• it becomes (¹/₂, 1)

• it becomes (2, 1)

• it becomes (1, 2)

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

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

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

• g(x)=2x²
• g(x)=0.5x²
• g(x)=x²+2
• g(x)=(x+2)²