#1 Combine like terms (AlgebraTiles) 3y2+3y2 #2 -3x2-3x2 #3 X2-3x2
1 answer:
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Answer: The last option, <u>28</u> minutes
Step-by-step explanation:
See attached for my work. <em>If you are color blind let me know, I color-coded where I "pulled" numbers from.</em>
To answer this problem, we can look at the graph. We need to see for how long the black line is above the blue.
The graph of g(x) obtained from the horizontal shrink, reflection and translation of f(x) by a factor of 16, across the x–axis and 2 units downwards is given by the function;
- g(x) = -(16•x)² - 2
Please see the attached graph of g(x)
<h3>What is a transformation of a function?</h3>The transformation of the graph of a function is the shrinking, stretching, reflecting or translating of the graph of the function
The given function is f(x) = x²
- The formula for reflecting a function f(x) across the x–axis to get g(x) is: g(x) = -f(x)
- The formula for shrinking of a function f(x) horizontally by a factor of 16 is g(x) = f(16•x)
- To translate the function, f(x), 2 units down gives; g(x) = f(x) - 2
The graph of g(x), which is a horizontal shrink by a factor of 16, a reflection across the x–axis and a vertical shift of 2 units downwards, is obtained from the function, g(x) = -f(16•x) - 2 = -(16•x)² - 2
Therefore;
- g(x) = -(16•x)² - 2
Please find attached the graph of g(x) created with Sheets
Learn more about the transformation of a function here:
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