Question

Vertex (-3,7) point:(-2,,-5)

Answer 1

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