Transformations of Parabolas

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

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

Describe the horizontal shift for

y = 3(x + 4)² - 1

• shifts 3 left

• shifts 4 left

• shifts 4 right

• shifts 1 left

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

What transformation happens here: y = (x - 5)² - 3?

• The graph is shifted to the right 5 units and down 3 units

• The graph is shifted right 3 units and down 5 units

• The graph is shifted left 5 units and down 3 units

• The graph is shifted left 3 units and up 5 units

What transformations are occurring to the following quadratic y = -x²+3

• left 3

• reflects across x axis, down 3

• reflects across x axis, up 3

• More Narrow (stretches)

• More Wide (compresses)