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calculus

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I have two questions, please help.

1. Determine the quadratic function f whose vertex is (2,-1) and passes through (1,1).
f(x)=?
type in form f(x)=ax^2+bx+c
**pleasae show work**

2. Describe for the graph of g(x)=3square root x+2 can be obtained from the graph of f(x)=3square root x
a. shift graph 2 units right
b. shift graph 2 units down
c. shift graph 2 units up
d. shift graph 2 units left

  • calculus - ,

    given the vertex,
    y = a(x-2)^2 - 1
    given the point,
    1 = a(1-2)^2 - 1
    1 = a - 1
    a = 2
    so,
    y = 2(x-2)^2 - 1
    y = 2x^2 - 8x + 7

    g(x) = f(x+2), so
    (D)

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