What is the vertex form of the equation? y=x^2+4x-3?

y = (x + 2)^2 - 7

Step-by-step explanation:

The vertex form of the equation of a parabola (such as we have here) is y = a(x-h)^2 + k, where (h,k) is the vertex.  It's safe to assume that the coefficient "a" in y=x^2+4x-3 is 1.

The best thing to do now is to complete the square.

That is, y = x^2 + 4x  + 4 - 4                                -3

This can be re-written in more compact form as:

            y = (x + 2)^2 - 7

Comparing this to

            y = a(x-h)^2 + k

shows that h = -2 and k = -7, which leads to the conclusion that the vertex is at (-2, -7).

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?