Question

Is the graph of y=-(x+7)^2 up or down? What is the vertex?

Answer 1

`"see explanation"`

Explanation:

`"the equation of a parabola in "color(blue)"vertex form"` is.

`•color(white)(x)y=a(x-h)^2+k`

`"where "(h,k)"are the coordinates of the vertex and a"`
`"is a multiplier"`

`y=-(x+7)^2" is in this form"`

`"with "a=-1" and "(h,k)=(-7,0)`

`color(magenta)"vertex "=(-7,0)`

`"to determine if the graph opens up/down"`

`• " if "a> 0" then graph opens up "uuu`

`• " if "a<0" then graph opens down "nnn`

`"here "a=-1" hence graph opens down"`
graph{-(x+7)^2 [-10, 10, -5, 5]}