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kow [346]
3 years ago
8

Subject: Maths

Mathematics
1 answer:
irga5000 [103]3 years ago
5 0

Answer:

  • (-1, -5), (-1/2, -3), (-1, -9)

Step-by-step explanation:

<u>The function in vertex form is:</u>

  • f (x) = a(x - h)² + k, where (h, k) is the vertex
  • f(x) = (x - 1)² - 3

i) y = f(x) - 2 = (x - 1)² - 3 - 2 = (x - 1)² - 5 ⇒ h = 1, k = -5

<u>Minimum point:</u>

  • (- 1, -5)

ii) y = f(2x) = (2x - 1)² - 3 = 4(x - 1/2)² - 3 ⇒ h = 1/2, k = -3

<u>Minimum point:</u>

  • (-1/2, -3)

iii) y = 3f(x) = 3((x - 1)² - 3) = 3(x - 1)² - 9 ⇒ h = 1, k = -9

<u>Minimum point:</u>

  • (-1, -9)

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