# What is the axis of symmetry for the graph #y= -x^2-8x+10#?

##### 1 Answer

Aug 2, 2017

#### Explanation:

#"the axis of symmetry passes through the vertex and has "#

#"equation"#

#•color(white)(x)x=c#

#"where c is the value of the x-coordinate of the vertex"#

#"for a parabola in standard form "ax^2+bx+c#

#x_(color(red)"vertex")=-b/(2a)#

#y=-x^2-8x+10" is in standard form"#

#"with "a=-1,b=-8,c=10#

#rArrx_(color(red)"vertex")=-(-8)/(-2)=-4#

#rArr"axis of symmetry is "x=-4#

graph{(y+x^2+8x-10)(y-1000x-4000)=0 [-80, 80, -40, 40]}