List All the Transformations of the Parabola

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

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 k have on the graph?

• Translates vertically

• Translates horizontally

• Dilates (stretches)

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

• Translates vertically

• Translates horizontally

• Dilates (stretches)

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 of the following describes the transformation of the graph g(x) = x² + 5 from the parent function?

• Translate 5 units up

• Translate 5 units down

• Translate 5 units to the right

• Translate 5 units to the left.

Which describes the transformation of the graph f(x) = x² to the graph of g(x) = 5x² ?

• The graph of g(x) is wider.

• The graph of g(x) is narrower

• The graph of g(x) reflects

• The graph of g(x) is to the right

Explain the transformation

y= - ( x-1) ² +11

• right 1 , up 11

• reflected, right 1, down 11

• reflected, right 1, up 11

• left 1, up 11