Math, Help Please IF you can

Chapter 6, Section 6.1, Question 036
The function g(x) is obtained by shifting the graph of y=x^2

If g(3) = 25

(a) g is the result of applying only a horizontal shift to y=x^2

g(x) =


(b) g is the result of applying only a vertical shift to y=x^2

g(x) =

g left-parenthesis x right-parenthesis equals

(c) g is the result of applying a horizontal shift right 2 units and an appropriate vertical shift of y=x^2

g(x) =

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  1. (a) 5^2 = 25, and we want
    (3-h)^2 = 25
    so, 3-h = ±5
    g(x) = (x+2)^2 or (x-8)^2

    (b) g(x) = x^2+16

    (c) shift right 2 is (x-2)^2
    Since (3-2)^2 = 1,
    g(x) (x-2)^2 + 24

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