Question

using the given quadratic function f(x)=x^2+2x-15, find the following information"Coordinates of y- intercept as an ordered pair

Answer 1

The y-intercept is the point at which a function cuts the y-axis. It can be found by evaluating the function at x=0. The coordinates of that point will be:

$(0,f(0))$

Evaluate f(0):

$\begin{gathered} f(x)=x^2+2x-15 \\ \Rightarrow f(0)=(0)^2+2(0)-15 \\ =0+0-15 \\ =-15 \end{gathered}$

Since f(0) = -15 , then the coordinates of the y-intercept are:

$(0,-15)$