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Given the parent function f(x) =x^2. Which statements are true about g(x), a transformed function of f(x) such that f(x) narrows vertically by a factor of 2, reflects in x-axis, translated 31/2 units to the right and 41/2 unit up.

Select all that apply.

A. The graph of g(x) has a minimum of x=31/2 at y=41/2

B. The y-intercept of g(x) is -20

C. The axis of symmetry is y=41/2

D. The x-intercepts of g (x) are (0,-5) and (0,-2)

E. The graph of g(x) has a minimum of y=41/2 at x= 31/2

F. The axis of symmetry is x=31/2

G. g(x) concaves downward

H. g(x) concaves upward

I. The factored form of g(x) is g(x)=2(x+5) (x+2)

J. The x-intercepts of g(x) are (2,0) and (5,0)

K. The factored form of g(x) is g(x) =-2(x-2) (x-5)

L. The zeros of g(x) are x=2 and x=5

M. The zeros of g(x) are x=-5 and x=-2

N. G(x) has no y-intercept

O. The vertex form of g(x) is g(x)=-2(x-31/2)^2 + 41/2

P. The vertex form of g(x) is g(x)= 2(x+31/2)^2 + 41/2

Sagot :

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