Respuesta :
y – 4x = 7 – x2
rewrite it:
y = -x^2+4x+7
complete the square:
y = -(x-2)^2 + 11
vertex: (2,11)
the axis of symmetry is the coordinate of x, i.e. x=2
rewrite it:
y = -x^2+4x+7
complete the square:
y = -(x-2)^2 + 11
vertex: (2,11)
the axis of symmetry is the coordinate of x, i.e. x=2
Answer:
axis of symmetry at x=2
Step-by-step explanation:
[tex]y - 4x = 7 - x^2[/tex]
LEts solve for y
Add 4x on both sides
[tex]y=- x^2+4x+7[/tex]
To find axis of symmetry we use formula
[tex]x=\frac{-b}{2a}[/tex]
the equation in the form of ax^2 + bx+c
a= -1 , b= 4
Plug in the values
[tex]x=\frac{-4}{2(-1)}=2[/tex]
So axis of symmetry at x=2
