Posted by Emily on Tuesday, October 20, 2009 at 8:09pm.
Given f(x) as shown, graph the following: [the line is going through (-2,-3) and (2,0)]
1. f(x) + 2
==> My graph I have is a line going through the points (-2,-1) and (2,2). Is this correct?
==> Can someone help me with this one please? I thought the 2 in front of the f(x) would affect the amplitude of the graph, but I don't see how this graph would have an amplitude.
Any help is GREATLY appreciated!!!!!
- Math Analysis - jim, Tuesday, October 20, 2009 at 8:38pm
OK. The original function is
1. Yes, the function (3/4)x + 1/2 does pass through those points (-2,-1) and (2,2), as you can verify by plugging them in
2. You're right; there is no amplitude - but there is a slope! It doubles the slope, and the y-intercept.
2f(x) = 2(3/4)x-2(3/2)
That passes through (0,-3) and (-2,0)
- More help? :( - Emily, Tuesday, October 20, 2009 at 9:19pm
Ohhhh I get it :) I have like two more questions though --
==> Would you multiply the x- and y- coordinates by -2? I'm soooo confused :-/
And for number 8, the graph is a parabola instead, with the vertex at (0,0), and the "arms" of the parabola going through the points (-1,1), (1,1), and (2,4). A parabola doesn't have an amplitude either, so what exactly would you do here? (don't worry -- this isn't all my homework, these are just a few examples so I know how to do the others)
- Math Analysis - jim, Tuesday, October 20, 2009 at 9:44pm
You don't multiply the co-ords, exactly. What you're scaling is the coefficients.
But careful: f(-2x) is not -2f(x)!
f(-2x) means might be a shorthand for f(g(x)), where g(x) = -2x.
-2f(x) would be
Your parabola is y=x^2, or
f(x) = x^2
2f(x) = 2x^2
and everything else, including the scaling, follows from that.
(-1,1) -> (-1,2)
(1,1) -> (1, 2)
(2, 4) -> (2, 8)
See? The y value is doubled, which is kind of obvious when you see that you're going from:
y = x^2
y = 2x^2
(And don't worry about being confused; that just means you're paying attention. :-)
- Math Analysis - Emily, Tuesday, October 20, 2009 at 10:08pm
Ohhhh that makes PERFECT sense! :D I'm soo glad I get this now. Thanks so much!! :)
Answer this Question
- math - what way would the line face with the linear equation y=-1/3x+5? A)A line...
- Graphs 2 - x = -3 y = 2 how about this?how do i graph it? Is this a single point...
- math - On a straight line graph, if the line is going this way \ and it goes ...
- graphing, math - How do you graph these types of problems. Graph each of the ...
- math - i have more than one question so if u no any of the answers please tell ...
- Calc. - Calculate the following: a) Find g(f(1)) b) Find lim x-> 1+ g(f(x)) c...
- Calc. Repost- Please Help - Calculate the following: a) Find g(f(1)) b) Find lim...
- Plz Help!Algebra!!! - Choose the description of the graph of the equation x = -8...
- More math linear equation help? - I'm looking at this graph where I see a line ...
- math,correction - the problem is: 3x-4y<12 so i came up with this: after ...