Question

Subject: Maths

Level: High-school

Topic: transforming graphs

Points: 90

PLEASE HELP!

(i have the answer for part i, i just need hel with ii and iii)

Answer 1

• (-1, -5), (-1/2, -3), (-1, -9)

Explanation:

The function in vertex form is:

• 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

Minimum point:

• (- 1, -5)

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

Minimum point:

• (-1/2, -3)

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

Minimum point:

• (-1, -9)