Describe the Transformation of Quadratic Function

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

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

Describe the transformation of
f(x) = x² -8 when compared to the parent function

• Vertical shift sp 8 units

• Vertical shift down 8 units

• Horizontal shift right 8 units

• Horizontal shift left 8 units

What is the equation of the quadratic function obtained from vertically compressing the parent function by 3/5 and then shifted up 8 units?

• f(x)= 3/5(x-8)²

• f(x)=3/5x²+8

• f(x)=x²

• f(x)=3/5x²-8

• Reflection over x-axis

• None of these

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

g(x) = 5x² + 2

• Vertical Stretch of 5

  Vertical Down 2

• Vertical Compression of 5

  Vertical Up 2

• Vertical Stretch of 5

  Vertical Up 2

• Vertical Compression of 5

  Vertical Down 2

Describe the transformation from the parent graph

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

Describe the transformations that map f(x) onto g(x)

• up 3

  left 12

• right 3

  down 12

• left 3

  up 12

• left 3

  down 12

Tags

CCSS.HSF.BF.B.3

• Graph gets narrow

• Graph gets wider

• Graph shifts to the left

• Graph shifts to the right

The graph of a quadratic function f is shown and the vertex is labeled with its coordinates.  If g(x) = f(x - 1) + 2, what is the minimum value of g?

* The minimum value of g is ​ (a)   because the minimum value of f is ​ (b)   and the graph of g is shifted ​ (c)   from the graph of f by ​ ​ (d)   .​

• 6

• 4

• up

• 2

• 1

• 3

• 5

• down

• left

• right