Quadratic Function Transformations

The graph of m(x) = x² was transformed to create the graph of n(x) = x² + 21.  Which of these describes the transformation?

• A vertical shift down 21 units.
• A vertical shift up 21 units.
• A horizontal shift to the right 21 units.
• A horizontal shift to the left 21 units.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

The graph of g(x) = x² is transformed to create the graph of g(x) = -g(x).  Describe the transformation.

• Vertical shift up.
• Horizontal shift to the right.
• Reflection in the x-axis.
• Horizontal shift to the left.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

The graph of g(x) = x² is transformed to create the graph of h(x) = 0.5g(x).  Describe the transformation.

• Vertical stretch by a factor of 0.5.
• Vertical shrink/compression by a factor of 0.5
• Horizontal stretch by a factor of 0.5.
• Horizontal shrink/compression by a factor of 0.5.

How did we transform from y=x^2?
y = -3x²

• reflection and horizontal compression
• reflection and vertical stretch
• horizontal stretch
• reflection and vertical compression

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

Tags

CCSS.HSG.CO.A.2

Describe the transformation from the parent function

y = (1/3)(x + 7)² + 4

• narrower, left 7 and down 4

• narrower, right 7 and up 4

• wider, left 7 and up 4

• wider, right 7 and down 4

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

• horizontal shift right 5 units
• horizontal shift left 5 units
• vertical shift up 5 units
• vertical shift down 5 units

Tags

CCSS.HSF.BF.B.3

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units
• horizontal shift right 7 units
• vertical shift up 7 units
• vertical shift down 7 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which of the following describes the transformations done to the quadratic parent function of f(x) = x²  to obtain g(x) = 2x² + 4 ?

• Vertical Stretch by a factor of 2 and vertical shift up 4 units
•  Vertical Shrink/Compress by a factor 2 and vertical shift up 4
• Vertical Stretch by a factor of 2 and horizontal shift left 4 units
• Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units

Tags

CCSS.HSF.BF.B.3

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7