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Q10: Identify the equation of the translated graph in general form x^2-y^2=8 for T (4,3)
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(Based on todays review)
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Edufirst
Answer:
- option b. x² - y² - 8x + 6y - 1 = 0
Step-by-step explanation:
The rule for T₍₄,₃₎ is (x, y) → (x + 4, y + 3)
That means that all the points of the function will be translated according to that rule.
The center of the function x² - y² = 8 is (0,0)
When you translate its graph as per the given rule T₍₄,₃₎, the new center will be (4,3) and the equation transforms into:
- (x - 4)² - (y - 3)² = 8
Expanding that expresssion:
- (x - 4)² - (y - 3)² = 8
- x² - 8x + 16 - y² + 6y - 9 = 8
- x² - y² - 8x + 6y - 1 = 0
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