Question

Find the y - intercept of the quadratic function f ( x ) = (x - 2.5)^2 + 0.25.

a. ( 0, 6.5 )
b. (0, - 0.25 )
c. (0, 0.25)
d. ( 0, - 6 )

( it is not c, i tried and got it wrong.)

Answer 1

to get the y-intercept we simply set x = 0 and solve for "y", knowing that the x-coordinate will be, well, 0.

`f(x)=(x-2.5)^2+0.25\implies f(0)=(\stackrel{ x }{0}-2.5)^2+0.25 \\\\\\ f(0)=(-2.5)^2 + 0.25\implies f(0)=6.25+0.25\implies f(0)=6.5~\hfill \boxed{(0~~,~~6.5)}`