quadratic transformations

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

What is the change of the graph of y = (x+5)² from the original parent function y = x²?

• The graph is the graph of y=x²+5 is translated 5 units down.

• The graph is the graph of y=x²+5 is translated 5 units left.

• The graph is the graph of y=x²+5 is translated 5 units right.

• The graph is the graph of y=x²+5 is translated 5 units up.

If the blue graph is

f(x) = x²

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

Which equation below is a quadratic function translated right 8 units?

• y = x² + 8

• y = (x + 8)²

• y = x² - 8

• y = (x - 8)²

How is the graph of y = x² different from the graph of

y = 1/3x²?

• The graph of

  y = 1/3x² is shifted up.

• The graph of

  y = 1/3x² is shifted down.

• The graph of

  y = 1/3x² is wider.

• The graph of

  y = 1/3x² is narrower.

Match the equation to its description.

• Vertical Stretch (skinnier) by 2 and translation up 4

• Vertical Compress (wider) by 2 and translation up 4

• Stretched (skinnier) by 2 and translation left 4

• Compressed (wider) by 2 and translation right 4

How does the graph of y = x ² - 7 compare to the parent function y = x²

• y = x ² - 7 is wider than y = x²

• y = x ² - 7 is narrower than

  y = x²

• y = x ² - 7 is shifted down 7 spaces from y = x²

• y = x ² - 7 is shifted up 7 spaces from y = x²