Respuesta :

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