Answer:
Equation: y = x²
Equation: f(x) = 2(x + 1)² - 1
Step-by-step explanation:
Equation: y = x²
- when x = -2, y = (-2)² = 4 ⇒ (-2, 4)
- when x = 0, y = (0)² = 0 ⇒ (0, 0)
- when x = 2, y = (2)² = 4 ⇒ (2, 4)
Equation: f(x) = 2(x + 1)² - 1
f(-2) = 2(-2 + 1)² - 1
= 2(-1)² - 1
=2(1) - 1
= 1
Therefore, (-2, 1)
f(0) = 2(0 + 1)² - 1
= 2(1)² - 1
=2(1) - 1
= 1
Therefore, (0, 1)
f(2) = 2(2 + 1)² - 1
= 2(3)² - 1
=2(9) - 1
= 17
Therefore, (2, 17)
