Which statement about the relationship between the graph of the quadratic parent function, f(x) = x2 , and the function, g(x) = -x2 + 5, is true? A. The graph of g(x) is narrower than the graph of f(x) and translated up five units.
B. The graph of g(x) is narrower than the graph of f(x) and translated down five units.
C. The graph of g(x) is a reflection of the graph of f(x) and translated up five units.
D. The graph of g(x) is reflection of the graph of f(x) and translated down five units.

what graph

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

the answer is -1 for this question

step-by-step explanation:

0

step-by-step explanation:

equals the constant of proportionality.

solve for