Question

The graph shows g(x), which is a translation of f(x)=x^2. Write the function rule for g(x).

the graph shows a curved line without a y-intercept, though the curve stops directly at (-4, 0). Distinct points are (-2, 4) and (-6, 4).
Write your answer in the form a(x–h)^2+k, where a, h, and k are integers or simplified fractions.

Answer 1

g(x) = 1(x - (-4))^2 + 0 = (x + 4)^2

Reason: the vertex is at (-4,0), so g(x)=a(x+4)^2. Using g(-2)=4 gives a(2)^2=4 so a=1.