Transformation of Parabolas

What is the correct name for the transformation from y=x2   to  y = -x2? (a)  

• Reflection
• Translation
• Dilation
• Transformer

When you subtract a constant from y=x2  what happens to the graph?  y = x2 - 2 (a)  

• Graph moves UP
• Graph moves to the RIGHT
• Graph moves DOWN
• Graph moves to the LEFT

What happens to the parabola when you multiply its equation by a number bigger than 1?    y = 3x²

• Graph moves UP
• Graph gets WIDER
• Graph moves DOWN
• Graph gets NARROWER

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• symmetrical point for the vertex

Tags

CCSS.HSG.GPE.A.2

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Tags

CCSS.HSF-IF.C.7A

Use the graph to determine the solutions. (a)  

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

What are the zeros?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSF-IF.C.7A

Name the roots?

• 0
• 4
• 2
• 0 and 4

Tags

CCSS.HSA-REI.B.4B

Transformation: Which of the following describes the transformation of the graph g(x) = x2 + 5 from the parent function?  (a)  

• Translate 5 units up
• Translate 5 units down
• Translate 5 units to the right
• Translate 5 units to the left.

Transformation:  Which describes the transformation of the graph f(x) = x² to the new graph of g(x) = 5x² ?

• The graph of g(x) is wider.
• The graph of g(x) is narrower
• The graph of g(x) reflects
• The graph of g(x) is to the right