Question

find the y - intercept, the axis of symmetry, and the vertex of the graph of the function.
$f(x) = -2x^2 + 4x - 7$
the y - intercept is \boxed{}. (type an ordered pair.)

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 \( f(x)=-2x^{2}+4x - 7 \).

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

\( f(0)=-2(0)^{2}+4(0)-7 \)
\( f(0)=0 + 0-7=-7 \)
So the y-intercept is the ordered pair \( (0, - 7) \).

Answer:

\((0, -7)\)