Question

What is the y-intercept of the graph of y=2x2+6x−9
?

Reference Sheet - Features of a Parabola

(1 point)
Responses

(0,2)
(0,2)

(0,6)
(0,6)

(0,9)
(0,9)

(0,-9)

Answer 1

To find the y-intercept of the graph of the equation \( y = 2x^2 + 6x - 9 \), you need to evaluate the function when \( x = 0 \).

Substituting \( x = 0 \) into the equation:

\[
y = 2(0)^2 + 6(0) - 9
\]
\[
y = 0 + 0 - 9
\]
\[
y = -9
\]

So the y-intercept is at the point \( (0, -9) \).

The correct response is:

**(0, -9)**