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 $f(x) = -2x^2 - 16x - 14$
answer attempt 2 out of 2
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 \( f(x)=-2x^{2}-16x - 14 \).

Step2: Substitute \( x = 0 \)

When \( x = 0 \), we have \( f(0)=-2(0)^{2}-16(0)-14 \).
Simplify the expression: \( -2\times0 - 0 - 14=-14 \).
So the y - intercept is at the point \( (0, - 14) \).

Answer:

\((0, -14)\)