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Alika [10]
3 years ago
8

Can anyone help me out with this?? I dont Understand

Mathematics
1 answer:
artcher [175]3 years ago
3 0
The arc length (s) is given in terms of the radius (r) and central angle (θ) by
  s = r*θ . . . . . . . where θ is in radians

For your arc, the length is
  s = (15 ft)*(π/4) ≈ 11.78 ft

_____
45° can be converted to radians by multiplying by π/180°.
  45° * (π/180°) = π*(45/180) = π/4 . . . . radians
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Which transformation have been preformed on a graph of f(x)=x2 to obtained the graph of g(x) =-3(x+1)2-4?
avanturin [10]

Horizontal shift because g(x)=f(x+1) 1 unit left

Vertical shift because g(x)=f(x+1)-4 4 units down

Reflected across x-axis because g(x)=-f(x)

Vertically stretched because g(x)=3(f(x))

Step-by-step explanation:

We need to identify which transformation have been preformed on a graph of f(x)=x2 to obtained the graph of g(x) =-3(x+1)2-4?

Rules for transformation:

Horizontal shift: depends on the value h

if g(x)=f(x+h) then: the graph is shifted left h units

if g(x)=f(x-h) then: the graph is shifted right h units

Vertical Shift: depends on the value k

if g(x)=f(x)+k then: the graph is shifted up k units

if g(x)=f(x)-k then: the graph is shifted down k units

Reflection:

if g(x)=-f(x) then graph is reflected at x-axis

if g(x)=f(-x) then graph is reflected at y-axis

Vertical Stretch:

if g(x)=c.f(x) then graph is vertically stretched.

In the given question:

f(x)= x^2

g(x)=-3(x+1)^2-4

Applying the above rules of transformation:

The graph is:

Horizontal shift because g(x)=f(x+1) 1 unit left

Vertical shift because g(x)=f(x+1)-4 4 units down

Reflected across x-axis because g(x)=-f(x)

Vertically stretched because g(x)=3(f(x))

Keywords: Transformations

Learn more about Transformations at:

  • brainly.com/question/2415963
  • brainly.com/question/3779181
  • brainly.com/question/5563823
  • brainly.com/question/9381523

#learnwithBrainly

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