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 Pre-Calculus Pre-Calculus Math Forum

 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 Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post catmurr Calculus 6 February 2nd, 2017 01:40 AM taylor_1989_2012 Pre-Calculus 6 September 27th, 2016 10:44 AM hhmathgeek Algebra 3 April 25th, 2016 03:38 PM Engasaurus Algebra 2 April 29th, 2013 12:36 PM sony102 Elementary Math 4 May 26th, 2009 09:32 PM

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