List All the Transformations of the Parabola

Which is the most basic equation of a parabola?

• y = x²
• y = 2x² + 3
• y = -x² -4
• y = -x²

Tags

CCSS.HSF-IF.C.7A

What is the correct name for y = -x²?

• Reflection
• Translation
• Dilation
• Transformer

What is the turning point of this graph?

• x=2
• y=-3
• (2, 1)
• y=1

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

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

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

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

• Opens down and is narrow

• Shifted down and is wider

• Shifted down and is Narrow

• Opens down and is wider

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