Quadratic Transformation

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.

Which description of the transformation of the graph of f(x) = x² + 2 to the graph of g(x) = (-3x)² + 2 is true?

• a horizontal compression with translation
• a horizontal compression with reflection
• a vertical compression with reflection
• a vertical compression with translation

Match the description to its equation.
- moves up 4

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.3

Match the description to its equation.
- moves down 3

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.3

Match the description to its equation.
-Moves left 2

• A
• B
• C
• D

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

Match the description to its equation.
Stretches by a factor of 3

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.SRT.A.1

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

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

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

• A
• B
• C
• D