Monique made several batches of soup.
1 answer:
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Answer:
- g(x) = x^2 -8x +23
- g(x) = √(-x -4) -5
Step-by-step explanation:
The transformations of interest are ...
f(-x) . . . . reflects across the y-axis
f(x -h) +k . . . . translates by (h, k)
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<h3>1)</h3>The translation left 4 and up 7 is translation by (-4, 7), so the translated function is ...
f(x +4) +7
Reflection over the y-axis replaces x with -x (and also reflects the left-translation). The reflected translated function is ...
g(x) = f(-x +4) +7 = (-x +4)^2 +7 = x^2 -8x +16 +7
g(x) = x^2 -8x +23
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<h3>2)</h3>Translation right 4 and down 5 is translation by (4, -5), so the translated function is ...
f(x -4) -5
Reflection over the y-axis replaces x with -x. The new equation is ...
g(x) = f(-x -4) -5
g(x) = √(-x -4) -5
