# Question #f07be

##### 1 Answer

Mar 15, 2017

#### Explanation:

The equation of a parabola in

#color(blue)"vertex form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=a(x-h)^2+k)color(white)(2/2)|)))#

where (h ,k) are the coordinates of the vertex and a is a constant.

#y=(x-5)^2-4" is in this form"#

#"with "h=5" and "k=-4#

#rArr"vertex "=(5,-4)# The parabola will have a maximum/ minimum dependent on.

#• "If "a>0" then minimum " uuu#

#• "If "a<0" then maximum" nnn#

#"here "a=1>0rArr" minimum at "(5,-4)# The axis of symmetry passes through the vertex and is vertical with equation x = 5

graph{(y-x^2+10x-21)(y-1000x+5000)=0 [-10, 10, -5, 5]}