Translations of Quadratic Equations

What change does a Translation Cause?

• a shift up, down, left, or right

• a reflection

• a compression

• a stretch

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Tags

CCSS.HSF-IF.C.7A

g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated down 4.
• f(x) has been translated up 4.

g(x)=f(x-4)
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the right 4.
• f(x) has been translated to the left 4.

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

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

What equation represents the quadratic function?

• y = (x - 4)²
• y = (x + 4)²
• y = x² - 4
• y = x² + 4

What equation represents the quadratic function?

• y = (x - 8)²
• y = (x + 8)²
• y = x² - 8
• y = x² + 8

Tags

CCSS.HSF-IF.C.7A

What equation represents the quadratic function?

• y = (x - 5)² - 3
• y = (x - 5)² + 3
• y = (x + 5)² - 3
• y = (x - 3)² - 5

What equation represents the quadratic function?

• y = -(x - 5)² 
• y = -x² + 5
• y = x² - 5
• y = (x - 5)² 

Tags

CCSS.HSF-IF.C.7A