Question

The function f(x) = x^2 is reflected across the x-axis and a stretch factor of 4 is applied to create a second function, g(x). Which of the following statements about the vertices of f(x) and g(x) is true?

a)The vertex of g(x) is 4 units to the left of the vertex of f(x).

b)The vertex of g(x) is 4 units above the vertex of f(x).

c)The vertex of g(x) is the same as the vertex of f(x).

d)The vertex of g(x) is 4 units to the right of the vertex of f(x).

e)The vertex of g(x) is 4 units below the vertex of f(x).

Answer 1

C. The vertexes are the same. The functions' vertex (h,k) values were not altered, just a (stretch/compress).