Answer:
Step-by-step explanation:
Vertex at (3, -2) means h = -3 and k = -2
f(x) = a(x - 3)² - 2
plug in the desired point (2, 3) to find (a)
3 = a(2 - 3)² - 2
3 = a - 2
a = 5
f(x) = 5(x - 3)² - 2
we can expand it to get standard form
f(x) = 5(x - 3)² - 2
f(x) = 5(x² - 6x + 9) - 2
f(x) = 5x² - 30x + 45 - 2
f(x) = 5x² - 30x + 43
