Tutors Answer Your Questions about Functions (FREE)
Question 904482: Did I do this correctly?
A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.
f(x) = x^2;
stretch vertically by a factor of 8, shift downward 9 units, and shift 3 units to the right.
My Answer: Y = x^2 - 8/3x+9
Thank You
Click here to see answer by ewatrrr(24785)   |
Question 904526: Describe how the graph of each of the following functions can be obtained from the graph of f
(a) y = -6 f(x)
(b) y = (-1/6) f(x)
(c) y = 11 f(x + 6)
How would these shift,stretch, reflect or shrink...Please describe!! thanks!
Click here to see answer by ewatrrr(24785) |
Question 904755: Transformation of function PLEASE HELP!
Suppose the graph of f is given and
g(x) = 1/6 (f(x) + 15)
Which transformations are made to the graph of f in order to obtain the graph of g?
Choose one:
Shift left A units.
Shift right A units.
Shift up B units.
Shift down B units.
There is no shifting of the graph of f.
A= ?
B = ?
choose one:
Stretch by a factor of C.
Shrink by a factor of C.
There is no stretching or shrinking of the graph of f.
C=?
Reflect in the x-axis.
Reflect in the y-axis.
There is no reflection of the graph of f.
Thank you
Click here to see answer by josgarithmetic(39613) |
Question 904745: Please I've been trying to figure these out all day and I just don't know how
How to transform this function?
Suppose the graph of f is given and
g(x) = −1.6 f(x + 14) − 7
Which transformations are made to the graph of f in order to obtain the graph of g?
choose one:
Shift right A units.
Shift down B units.
There is no shifting of the graph of f.
Shift up B units.
Shift left A units.
A =
B =
Which is an attribute:
stretch by a factor of C?
shrink by a factor of C?
there is no stretching or shrinking of the graph of f?
C =
Which of these three is an attribute:
Reflect in the x-axis.
Reflect in the y-axis.
There is no reflection of the graph of f.
PLEASE HELP!
Click here to see answer by josgarithmetic(39613) |
Question 905002: How can we express these functions algebraically?
The rule of the function f is "add one" and the rule of the function g is "multiply by 3."
f (x)=
g(x) =
(f º g)(x)=
(g º f)(x)=
Please explain how these are solved.
Thank you
Click here to see answer by ewatrrr(24785) |
Question 905053: Please help!
Consider the following functions.
f(x) = x − 2, g(x) = x^2
Find
(f + g)(x) = I put (x-2)^2
Find the domain of
(f + g)(x) = (-∞,∞)
Find
(f − g)(x) = ?
Find the domain of
(f − g)(x) = ?
Find
(fg)(x) = ?
Find the domain of
(fg)(x) = ?
Find
(f/g)(x) = ?
Find the domain of
(f/g)(x) = ?
Click here to see answer by ewatrrr(24785) |
Question 905108: Please help solve. I was able to put g(x) = 5x^2 − 30x + 55 into standard form like so g(x) = 5(x − 3)^2 + 10 I understand that the vertex is (3,10) however what does the g mean in this? I know it's a variable but I have a problem asking me if it's greater than or less than zero. I don't know how to find this. Also asking for it's max and min value which I think is the vertex and if it's upward then it's only a min because it's showing it's lowest point and the rest exceeds infinitely. Does that all sound correct?
Here is the problem I am confused about:
http://i.imgur.com/EVIiBCc.png
Thank you
Click here to see answer by Math_Boss(45)  |
Question 905407: Consider the following functions.
f(x) = x^2 + 5x, g(x) = 7x^2 − 1
Find
(f + g)(x) =
Find the domain of
(f + g)(x) =
----------------
Find
(f − g)(x) =
Find the domain of
(f − g)(x) =
----------------
Find
(fg)(x) =
Find the domain of
(fg)(x) =
----------------
Find
f/g(x) =
Find the domain of
f/g(x)
Thank you
Click here to see answer by harpazo(655)  |
Question 905412: Consider the following functions.
f(x) = √(81 − x^2), g(x) = √(x^2 − 4)
Find
(f + g)(x) =
Find the domain of
(f + g)(x) =
----------------
Find
(f − g)(x) =
Find the domain of
(f − g)(x) =
----------------
Find
(fg)(x) =
Find the domain of
(fg)(x) =
----------------
Find
f/g(x) =
Find the domain of
f/g(x)
Thank you
Click here to see answer by harpazo(655) |
Question 905138: Please help solve. I was able to put g(x) = 5x^2 − 30x + 55 into standard form like so g(x) = 5(x − 3)^2 + 10 I understand that the vertex is (3,10) however what does the g mean in this? I know it's a variable but I have a problem asking me if it's greater than or less than zero. I don't know how to find this. Also asking for it's max and min value which I think is the vertex and if it's upward then it's only a min because it's showing it's lowest point and the rest exceeds infinitely. Does that all sound correct?
Here is the problem I am confused about:
http://i.imgur.com/EVIiBCc.png
Thank you
Click here to see answer by Fombitz(32388)  |
Question 905484: The rule of the function f is "add one" and the rule of the function g is "multiply by 5."
How can I express these functions algebraically?
f(x) =
g(x) =
(f º g)(x) =
(g º f)(x) =
please explain how these are done, I must understand.
Thank you
Click here to see answer by ewatrrr(24785) |
Question 905545: I have a question from a worksheet that is confusing to me:
Explain in words how to write an equation that is part one: parallel and then also part two: perpendicular to the equation y=2/3x-4 passing through the point (-2,-5). Write your answer in standard form.
I'm hoping to get a detailed answer so I know what I'm doing on the test next week... Thanks in advance!
Click here to see answer by ankor@dixie-net.com(22740)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660
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