Quadratic Transformation Homework Assignment

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

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Pablo throws a ball with a path of
h = -5(t - 2)².
Maria throws a ball with a path of
h = -5(t - 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.

Match the description to its equation.
Reflected over the x-axis 
Stretched by a factor of 2

• A
• B
• C
• D

Match the description to its equation.
Moves up 2
Moves left 4

• A
• B
• C
• D

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

Match the description to its equation.
- moves down 3

• A
• B
• C
• D

Match the equation to its description.

• Reflected over x and up 4
• Reflected over x and down 4
• Reflected over x and right 4 
• Reflected over x and left 4

Match the equation to its description.

• Stretched by 2 and up 4
• Compressed by 2 and up 4
• Stretched by 2 and left 4
• Compressed by 2 and left 4

Match the equation to its description.

• Stretched by 4 and up 4
• Compressed by 4 and up 4
• Stretched by 4 and left 4
• Compressed by 4 and left 4

Match the description to its equation.
Moves down 1
Moves right 1

• A
• B
• C
• D