Comparing Quadratic Equations to the Parent Function

Which of the following graphs correctly represents:

y=x²

y=-2x+1

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Tags

CCSS.HSA.REI.C.7

The table represents which function?

• Linear

• Exponential

• Quadratic

• Cubic

Which function is quadratic?

• f(x)

• h(x)

• g(x)

Compare y = 2(x - 3)² + 5 to the parent function y = x²

• vertical stretch, moves 3 units left and 5 units up

• vertical shrink, moves 3 units left and 5 units up

• vertical shrink, moves 3 units right and 5 units up

• vertical stretch, moves 3 units right and 5 units up

Which parent function matches the graph?

• y = |x|

• y = ∛(x)

• y = x²

• y = a⋅b^x

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

Compare g(x) = x² - 7 to the parent function f(x) = x²

• moves 7 units right

• moves 7 units left

• moves 7 units up

• moves 7 units down

Compare y = x² + 5 to the parent function y = x²

• moves 5 units right

• moves 5 units left

• moves 5 units up

• moves 5 units down

Compare y = x² - 7 to the parent function y = x²

• moves 7 units right

• moves 7 units left

• moves 7 units up

• moves 7 units down