Transformation of a Parabola

Which is the most basic equation of a parabola?

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

Which of the following will be a sad parabola?

• y = x² -1
• y = -x²
• y = -x -1
• y = 3x²

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

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

Find the equation of the parabola that has moved...

5 units to the right

Find the equation of the parabola that has moved...

8 units down