Axis of symmetry at x=-7, meaning that the x value of the vertex is at x=-7 means that it is a function max height is 4 means that the y value of the vertex is 4 passes through the point (-6,0) or one point is x=-6, y=0
in the form y=a(x-h)^2+k (h,k) is vertex
we know that vertex is at (-7,4) y=a(x-(-7))^2+4 y=a(x+7)^2+4 find a by plugging in the point (-6,0) aka subsitutin -6 for x and 0 for y 0=a(-6+7)^2+4 0=a(1)^2+4 0=a+4 -4=a
The vertex form of a quadratic equation: y = a(x - h)^2+ k
Axis of symmetry is said to be x=-7. This means that the x value of the vertex is at x=-7. The maximum height is 4 thus the y value of the vertex is 4.
in the form y=a(x-h)^2+k (h,k) represents the vertex
Thus, the equation becomes, y=a(x-(-7))^2+4 y=a(x+7)^2+4
We obtain a by substituting <span> the point (-6,0) for x and y in the equation.</span> 0=a(-6+7)^2+4 0=a(1)^2+4 0=a+4 a = -4
Therefore, the equation in vertex form is: y=-4(x+7)^2+4
