Parabola Dilations

Does the parabola get Skinnier or Wider?

y = 1/2 - 5x²

• Skinnier

• Wider

Which answer correctly describes the following parabola:

y = 3 - 1/4x²

• vertex (0, -3), parabola opens UP, parabola gets wider

• vertex (0, -1/4), parabola opens Down, parabola gets wider

• vertex (0, 3), parabola opens Down, parabola gets skinnier

• vertex (0, 3), parabola opens Down, parabola gets wider

Which answer correctly describes the following parabola:

y = 4x² - 3

• vertex (0, -3), parabola opens UP, parabola gets wider

• vertex (0, -3), parabola opens UP, parabola gets skinnier

• vertex (0, 3), parabola opens Down, parabola gets skinnier

• vertex (0, 3), parabola opens Down, parabola gets wider

Does the following parabola get skinnier or wider? y = 1/2 x² + 3?

• Skinnier

• Wider

In the equation f(x)=5(x+3)²-10 what does the 5 do?

• Vertical stretch by 5

• Horizontal compress by 5

• Reflect

• Move up 5

• g(x)=2x²
• g(x)=0.5x²
• g(x)=x²+2
• g(x)=(x+2)²

Describe the transformations from the original parent function f(x) = x².

g(x) = 5x² + 2

• Vertical Compression of 5

  Translated Down 2

• Vertical Compression of 5

  Translated Up 2

• Vertical Stretch of 5

  Translated Up 2

• Vertical Shrink of 5

  Translated Down 2

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

• Wider

• Narrower

How did we transform from f(x) =x²  to g(x) = 3x²

• vertical shift down

• vertical stretch

• horizontal stretch

• vertical compression

How did we transform from the parent function? g(x) = 1/5(x - 1)² + 7

• vertical compression, horizontal right, vertical up

• vertical compression, horizontal shift left, vertical shift up

• horizontal shift right, vertical shift down

• no changes were made to y = x²