Answer:
[tex](x-2)^2-30[/tex]
Step-by-step explanation:
use the form [tex]ax^2+bx+c[/tex] to find the values of a, b, and c.
[tex]a=1, b= -4, c = -26[/tex]
consider the vertex form of a parabola
[tex]a(x+d)^2+e[/tex]
substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]
[tex]d=\frac{4}{2(1)}[/tex]
simplify the right side.
find the value of e using the formula [tex]e=c-\frac{b^2}{4a}[/tex]
[tex]e=30[/tex]
