6.5 Quiz

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

• a translation shifting f(x) 4 units up
• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

In the equation f(x)=1/2(x+9)²-1, what happens to the parabola?

• Reflect, horizontal compress by 1/2, left 9, down 1
• Vertical compress by 1/2, left 9, down 1
• Horizontal Compress by 1/2, right 9, down 1
• Vertical Stretch by 1/2, left 9, down 1

• Vertical compression by a factor of 2, and shifted right by 1 unit

• Reflected over the x-axis, vertical stretch by a factor of 2, and shift left by 1 unit

• Reflected over the y-axis by a factor of 2, and shifted up by 1 unit

• Reflected over the x-axis, horizontal compression by a factor of 2, and shifted down by 1 unit

Describe the transformations of the graph y = (x - 3)³ -2

• Right 3, Down 2
• Left 3, Up 2
• Right 3, Up 2
• Left 3, Down 2 

Describe the transformation of the graph  y = -2(x + 5)³ 

• Shrink by 2, Reflected over y-axis, Right 5
• Stretch by 2, Reflected over x-axis, Left 5
• Stretch by 2, Reflected over x-axis, Right 5
• Shrink by 2, reflected over y-axis, Left 5

Describe the transformation of the graph  y = (x)³  + 6

• Right 6
• Left 6
• Up 6
• Down 6

  The blue function is the original function f(x) = x³.  Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

• Reflection across the x-axis, Vertical compress by 1/2, left 8

• Reflection across the x-axis, Vertical compress by 1/2, right 8

• Vertical compress by 1/2, left 8

• Vertical Stretch by 1/2, right 8

Is the power even or odd?

• Odd

• Even

Describe the transformation:
f(3x)

• Horizontal Stretch
• Horizontal Compress
• Vertical Stretch
• Vertical Compress