Question
Asked Nov 6, 2019
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How do I solve this?

Begin by graphing the standard quadratic function f(x) = x2. Then use transformations of this
graph to sketch the graph of g(x) = -3(x-1)2 + 4 (must have at least 3 to 4 key points)
Y
22
1
7 16 -5 -4 3 -2 -10 1 2 3 45 6 7
-1
-2
-3
-4
- 5
6
-7
X
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Begin by graphing the standard quadratic function f(x) = x2. Then use transformations of this graph to sketch the graph of g(x) = -3(x-1)2 + 4 (must have at least 3 to 4 key points) Y 22 1 7 16 -5 -4 3 -2 -10 1 2 3 45 6 7 -1 -2 -3 -4 - 5 6 -7 X

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Expert Answer

Step 1

Sketch the graph of g(x)= -3(x-1)2+4, use the transformations of the graph and graphing the function f(x)=x2

Step 2

Graphical transformation

  • f(x) transform to af(x), stretch the graph of f(x) ‘a’ time along y-axis, │a│>0

 

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10 fx)-3(x-1) 5 (1,0) -5 5 0 (0,-3) -5 10 LO

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Step 3
  • f(x) transform to f(x-a), a is positive shift the graph of f(...
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fx)=(x-1)2 f(x)=x-1 2 (1,0) 2 -2 2 (1,0) (0,-1 2

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Algebra