Transformations of Parabolas

Which of the equations below would most likely to fit the graph shown in red?

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

In vertex form, y= a(x-h)²+k, what effect does the k have on the graph?

• Translates vertically

• Translates horizontally

• Dilates (stretches)

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

• Reflection

• Translation

• Dilation

• Transformer

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

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

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

In vertex form, y= a(x-h)²+k, what effect does the a have on the graph?

• Translates vertically

• Translates horizontally

• Dilates (stretches)