+12 the vertex is (-3,-13) and the y-intercept is -4. what is f(x)?
+23252 If it is a parabola, it's equation is: y - k = a(x - h)2 where (h, k) is it's vertex.
Substituting h = -3 and y = -13: y - -13 = a(x - -3)2 ---> y + 13 = a(x + 3)2
y-intercept = -4 --> x = 0 and y = -4 ---> -4 + 13 = a(0 + 3)2 ---> 9 = 9a ---> a = 1
Solution: y + 13 = 1(x + 3)2 ---> y + 13 = (x + 3)2
+23252 If it is a parabola, it's equation is: y - k = a(x - h)2 where (h, k) is it's vertex.
Substituting h = -3 and y = -13: y - -13 = a(x - -3)2 ---> y + 13 = a(x + 3)2
y-intercept = -4 --> x = 0 and y = -4 ---> -4 + 13 = a(0 + 3)2 ---> 9 = 9a ---> a = 1
Solution: y + 13 = 1(x + 3)2 ---> y + 13 = (x + 3)2
