Quadratic Transformations Review

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

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

How did we transform from f(x) =x²

to

g(x) = -3x²

• reflection over x-axis and vertical shift down 3

• reflection over x-axis and vertical stretch by 3

• horizontal stretch by 3

• reflection over x-axis and vertical compression by -3

Match the description to its equation.
Moves right 7

• A
• B
• C
• D

How did we transform from the parent function?

g(x) = -1/5(x - 1)² + 7

• reflection over x-axis, vertical compression by 1/5, right 1, up 7

• vertical compression by -1/5, left 1, up 7

• reflection over x-axis, right 1, down 7

• reflection over the x-axis, vertical stretch by 1/5, right 1, up 7

Match the description to its equation:
moves down 3

• A
• B
• C
• D

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• vertical stretch by 5

• compress vertically by 5

• right 5

• up 5

In the equation g(x) = 3/4 (x - 5)² + 12, what does the 5 do?

• right 5

• left 5

• up 5

• down 5

In the equation f(x) = 3/4 (x - 5)² + 12, what does the 12 do?

• right 12

• down 12

• vertical stretch by 12

• up 12

In the equation g(x) = 3/4 (x - 5)² + 12, what does the 3/4 do?

• compress vertically by 3/4

• stretch vertically by 3/4

• up 3/4

• right 3/4

Which equation indicates a transformation of a vertical stretch by 3?

• y = 3x²

• y = 1/3x²

• y = x² + 3

• y = (x + 3)²