Translating Parabolas

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

• Reflection
• Translation
• Dilation
• Transformer

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

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

What transformation occurred to y = x² to y = (x - 5)² - 3?

• The graph translated right 5 units and down 3 units
• The graph translated right 3 units and down 5 units
• The graph translated left 5 units and down 3 units
• The graph translated left 3 units and up 5 units

Describe the horizontal shift for

y = 3(x + 4)² - 1

• shifts 3 left

• shifts 4 left

• shifts 4 right

• shifts 1 left

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

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

State the turning point (vertex) for the equation:
y = -(x + 1)² + 4

• (1, -4)
• (-1, 4)
• (-4, 1)
• (4, -1)

What is the axis of symmetry for this graph?

• y=2
• x=2
• x=0
• y=0

What are the coordinates of the y-intercept?

• (-3, 0)
• (0, -3)
• (2, 1)
• y=-3

When you add a constant to y=x² what happens to the graph? For example: y = x² + 1

• 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 less than 1?  For example:  y = 0.5x²

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