Transformations of Parabolas

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

What happens to the parabola when you multiply its equation by a number less than 1?  Eg  y = 0.5x²

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

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

• Reflection
• Translation
• Dilation
• Transformer

When you add a constant to 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

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

Which way does the graph move if the equation looks like y = (x - 3)² ?

• Graph moves UP 3 units
• Graph moves to the RIGHT 3 units
• Graph moves DOWN 3 units
• Graph moves to the LEFT 3 units

Which way does the graph move if the equation looks like y = (x + 4)² ?

• Graph moves UP 4 units
• Graph moves to the RIGHT 4 units
• Graph moves DOWN 4 units
• Graph moves to the LEFT 4 units

State the vertex for the equation:

y = (x -3)² - 2

• (3, 2)

• (2, 3)

• (3, -2)

• (-2, 3)