Can someone please write an equation for me

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

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.