Quadratic functions g(x) and h(x) are graphed on the same coordinate grid. The vertex of the graph of h(x) is 12 units above the vertex of the graph of g(x).
Which pair of functions could have been used to create the graphs of g(x) and
h(x)?
A. H (x) = (x + 12)^2and g(x) =x^2

B. h(x) = x^2 + 12 and g(x) = x^2

C. H(x) = x² -12 and g(x) = x^2

D. H(x) = (x - 12)^2and g(x) = x^2

Prove that 3: 8 is equivalent to 12: 32.a. use diagrams to support your answer.

A. plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. which function could be described as exponential and which as linear? explain. c. if the functions continue with the same pattern, will the function values ever be equal? if so, give estimates for the value of x that will make the function values equals. if not, explain why the function values will never be equal.

What is the distance between the points (2, 5) and (5,9)?