Answer:
y=(x+2)^2−13
Explanation:
Set the polynomial equal to y to find the vertex form.
y=x^2+4x−9
Complete the square for x^2+4x−9
Use the form ax^2+bx+c , to find the values of a, b, and c.a=1,b=4,c=−9
Consider the vertex form of a parabola. a(x+d)^2+e
Substitute the values of a and b into the formula d= b/2a.
d= 4/2(1)
Cancel the common factor of 4 and 2.
d=2
Find the value of e using the formula e=c− b2/4a.
e=−13
Substitute the values of a, d, and e into the vertex form a(x+d)^2+e.
(x+2)^2−13
Set y equal to the new right side.