What is the vertex given the equation ? 4x+6x+2=0

(-0.75, -0.25)

Step-by-step explanation:

Question:

Determine the coordinates of the vertex for the given parabola equation: y= 3x2+12x -12

Solution:

Given equation: y= 3x2+12x -12

Here a = 3, b = 12

We know that the formula to find the x- coordinate is given by -b/2a

= -12/2(3)

= -2.

Therefore, x -coordinate is -2

Now, substitute the value of x in the given equation, we get y= -24

Hence, the vertex coordinates (h, k) is (-2, -24)

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

the answers are in the images, i received 100% on this assignment. hope this !