MEDAL!! PLEASE HELP!!
Sketch the graph of each function.
y= -x^2 + 8x- 12

Question

clamin · Answer

@TheSmartOne @ganeshie8 @triciaal

anonymous · Answer

This is a graph of a parabola that opens downwards. You're going to need to find the vertex and then the x-intercepts to see where its branches hit the x-axis. To do that factor the equation. $$y=-1(x^2-8x+12)$$
$$y=-1(x-6)(x-2)$$ x-intercepts are (6,0) and (2,0).
The formula to find the x of the vertex is -b/2a. 
a=1 b=-8
$$x=-\frac{ -8 }{ (2)1 }$$$$x=4$$
plug it back into the equation to find the y value$$y=-1(4-6)(4-2)$$$$y=-1(-2)(2)$$ so y=4. Vertex=(4,4)

anonymous · Answer

And your graph will be like this :)