Parabolas Stretch and Compression

The coefficient "a" in vertex form controls what?

• Opening Upward or Downward

• Vertical Compression or Stretch (Wide or Narrow)

• Vertical Translation (Up or Down)

• Horizontal Translation (Left or Right)

Which of the following parabolas is vertically compressed most (widest)?

• y= 2(x + 5)²

• y= 3(x + 5)²

• y= 4(x + 5)²

• y= 5(x + 5)²

Describe the opening and the vertical stretch or compression from

y = 5(x + 6)² + 2 to

y = 2(x - 4)² - 5

• Opens up, vertical compression (wider)

• Opens down, vertical compression (wider)

• Opens up, vertical stretch (narrower)

• Opens down, vertical stretch (narrower)

Describe the opening and the vertical stretch or compression from

y = (x - 2)² + 3 to

y = -(x + 5)² - 6

• Opens down, no dilation

• Opens down, vertical compression

• Opens up, no dilation

• Opens up, vertical stretch

Which of the following quadratic functions has the WIDEST graph?

• f(x)= -3x²

• h(x)= 2x²

• g(x)= ¼x²  

• p(x)= 4x²

Compare the function y = 0.3x² to the parent function y = x²

• Wider

• Narrower

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

• Wider

• Narrower

Find the vertex of

f(x) = -(x+6)(x-2)

• (-2, 16)

• (2, 0)

• (2, 4)

• (-2, 4)

Which graph below matches up with the equation:

y = -⅕(x+6)(x+1)

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Tags

CCSS.HSF-IF.C.7A

The blue is the parent function. What transformation does the red parabola show?

• Stretch

• Compression

• Reflection and stretch

• Reflection and compression