Which of these equations has a vertex with the same vertical shift as y=(x-3)^2+1 but with a vertex shifted to the left of the graph of this equation? select all that apply. y=(x-3)^2+5
y=(x-3)^2-2
y=(x-2)^2+1
y=(x-5)^2+1
y=(x+2)^2+1
y=-2(x-3)^2+1

step-by-step explanation:

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

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

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

f(x) is   are being squared

g(x) is   increasing by 2

h(x) is adding .25 each time

k(x) is taking the square root

f(x) and k(x) are exponential functions