My Math Forum Equation for square root function graph

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 April 3rd, 2019, 11:42 AM #1 Newbie   Joined: Apr 2019 From: British Columbia Posts: 1 Thanks: 0 Equation for square root function graph Hi, https://imgur.com/EjUeSm8 I'm trying to determine the equation for the square root function. Starting point of the graph is at (3,5) pointing down and left and is a square root function. Second point is on (2,4). There seems to be a typo in the explanation in the answer. How do I set up the equation to get radicand as -x+3? Thanks
April 4th, 2019, 06:13 AM   #2
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transformations to the parent function $y = \sqrt{x}$ ...

reflection over the x-axis

$y = -\sqrt{x}$

reflection over the y-axis

$y = -\sqrt{-x}$

horizontal shift right 3 units

$y = -\sqrt{-(x-3)}$

vertical shift upward 5 units

$y = -\sqrt{-x+3}+5$

graph showing each transformation step attached
Attached Images
 transformations.jpg (44.4 KB, 2 views)

 Tags equation, function, graph, root, square

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