Answer:
The one that gives us the fastest y-intercept is "b". The coordinates are (0,15).
Step-by-step explanation:
In order to check which form gives us the fastest y-intercept value, let's apply x = 0 in all three of them and check how many operations we need to do to get our desired results.
a) f(x) = -3*(x - 2)² + 27
f(0) = -3*(0 - 2)² + 27
f(0) = -3*(4) + 27
f(0) = -12 + 27
f(0) = 15
b) f(x) = -3*x² + 12*x + 15
f(0) = -3*(0)² + 12*(0) + 15
f(0) = 15
c) f(x) = -3*(x + 1)*(x - 5)
f(0) = -3*(0+1)*(0-5)
f(0) = -3*(-5)
f(0) = 15
The fastest one is "b". Since it is in the standard second degree equation form "a*x² + b*x + c", we could have checked immediately by the value of "c".
The y-interecept is (0,15).
