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Find the expression for g

### Question Description

If the graph of the function h defined by h(x)=-3x^2-4

is translated vertically upward by 7 units, it becomes the graph of a function g. Find the expression for g(x)

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## Final Answer

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f(x) = -3x2 - 4 + 7 = 3x2 + 2......................

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1. Now consider the parent function P(x) = x2, and
let g(x) = 4(x-1)2 + 8.
(A) Explain step-by-step,
graphing/labeling (on graph paper!)
the parent, each intermediate function, if we do transformations in these two orders:
(You will have to figure out the exact transformations in each case.)
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shift then vertical stretch then vertical shift; (ii)Horizontal shift then vertical shift then
vertical stretch.
(B) (i) Explain how you can cut the
domain of our g(x) so that at least
part of it has an inverse function (I.e. passes the horizontal line test).
(ii) Now find
the equation of the INVERSE function of our g(x).

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