Question

Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest)
f(x)- f(x) = -4(x − 8)2 + 3
g(x)- g(x) = 3x2 + 12x + 15 graph of negative 1 times the quantity of x minus 3 squared, plus 2

Answer 1

The vertex form of a parabolic equation is this:

y = a(x -h)^2 + k where (h, k) is the vertex.

The equation of the axis of symmetry is x = h.

h is the x coordinate of the vertex.

The first function is already in vertex form.

y = -4(x − 8)^2 + 3

The x coordinate of the vertex is 8.

The line of symmetry has equation x = 8

Answer 2

Your task is to get the vertex of g(x) = 3x2 + 12x + 15.

The second task is to look at the graph of h(x) = -1 (x -3)^2 + 2 and get the x coordinate of the vertex.

Answer 3

Then, we will have the needed information to find the equations of all three axes of symmetry after which they can be ranked.

Answer 4

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