Question

a quadratic function $f(x)$ is hidden from view. you must find the $y$-intercept(s) of $f(x)$ and write the answer(s) in the form $(x, y)$. choose the form of the quadratic function $f(x)$ that you would like to see in order to answer the question most efficiently.
form: standard form $f(x) = -x^2 - 2x + 15$
answer attempt 1 out of 3
there is one $y$-intercept

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a function \( f(x) \) is the point where \( x = 0 \), so we substitute \( x = 0 \) into the function \( f(x)=-x^{2}-2x + 15 \).

Step2: Substitute \( x = 0 \) into the function

When \( x = 0 \), we have \( f(0)=-(0)^{2}-2(0)+15 \).
Simplifying the right - hand side: \( -(0)-0 + 15=15 \).

Answer:

\((0, 15)\)