Question

The function f is given in three equivalent forms.

Answer 1

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).