Which is one of the transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3?
Answers
Answered by
4
Given:
f(x)=x²
g(x) = 2x²−28x+3
To Find:
The transformations applied to the graph of f(x)
Solution:
We have g(x) = 2x²−28x+3
We need to convert this into (x - a )² + c form.
By using completing the square method,
- g(x) = 2x²−28x+3
- g(x) = 2(x² - 14x + 3/2)
- g(x) = 2( x² - 2 x 7 x + 7² - 7² + 3/2)
- g(x) = 2( x² - 2x7x + 7²) - 2x7² + 3
- g(x) = 2( x - 7)² - 98 + 3
- g(x) = 2(x - 7)² -95
Therefore transformation on f to get g , is
- g(x) = 2 f(x-7) - 95
Therefore the transformation applied to the graph of f(x) is that f is shifted to right by 7 units, multiplied by a factor of 2 and shifted downwards by 95 units.
Answered by
2
Answer:
C - shifted right 7 units
Step-by-step explanation:
Got it right on Edge 2020-21. Hope this helps, have a wonderful day!
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