What is the vertex of the quadratic function f(x)=1/2x^2+3x+3/2?

(-3, -3)

Step-by-step explanation:

The standard form of a quadratic equation is where the coordinates of the highest point (x, y) indicate the vertex.

Here, and  .

We know the formula to find the x coordinate =

=

To find y, put this value of x in the function to get:

Therefore, the vertex (x, y) = (-3, -3)

answer: options?

step-by-step explanation:

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3