Graphing with Transformations

Which choice correctly shows the vertical shift in the graph?

• (x-2)³

• (x+2)³

• x³ + 2

• x³ - 2

Which choice correctly shows the horizontal shift in the graph?

• (x+1)³

• (x-1)³

• ∛(x+1)

• ∛(x-1)

Choose the correct translated function.

• f(x)= -(x+1)²+4

• f(x)= (x-1)²-4

• f(x)= -(x+1)²-4

• f(x)= -(x+4)²-1

Parent function, f(x) = x². Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.

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Which of the following is the correct equation for the given graph?

• y = (x - 2)² - 1

• y = -(x + 2)² - 1

• y = (x + 2)² - 1

• y = -(x - 2)² - 1

Which transformation below describes the 6 in the equation?

• Stretch

• Shift Up

• Shift Right

• Shift Left

• Shift Down

Does this graph have a maximum or minimum?

• Minimum

• Maximum

Does this parabola have a maximum or minimum?

• Maximum

• Minimum

Which of the following is a transformation of the graph y = x² + 4 ?

• Shifts left 4.

• Shifts right 4.

• Shifts up 4.

• Shifts down 4.

Chose the correct transformation:
(x, y) --> (x , y + 2)

• Translation 2 units up

• Translation 2 units left

• Translation 2 units down

• Translation 2 units right