Answer:
y= -12x^2 -72x + 101(standard form)
y= -12(x+3)^2+7(vertex form)
Step-by-step explanation:
Standard form : y=ax^2 + bx + c
Using the vertex(h,k) we can find the vertex form of the equation which is:
y = a(x-h)^2+k
y=a(x+3)^2+7
Because we have a point we can use that to find the slope:
-5=a(-2+3)^2+7
-5=a(1)^2+7
-5-7=a
a=-12
So, in standard form:
y=-12(x+3)^2+7
y=-12(x^2+6x+9)+7
y= -12x^2 -72x -108+7
y= -12x^2 -72x- 101
