Name: 對數函數圖解（例2）｜代數2｜可汗學院 (Graphing logarithmic functions (example 2) | Algebra 2 | Khan Academy)
Uploaded: 2021-01-14T10:14:13.000Z
Duration: 3 min 46 s
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and it says the intergraphic, the interactive graph below

and you can see it down there as a dashed curve,

Adjust the movable graph to draw y is equal

to four times log base two of x plus six minus seven.

And so if you happen to have this exercise in front of you

Or if you're just thinking about in your head,

And I'll give you a hint, to go from our original

y is equal to log base two of x to all of this,

it's really going to be a series of transformations.

what we can do is we can move this vertical asymptote around

and then we can also move two of these points.

And so let's see, and that was just the graph

So let's just do these transformations one at a time.

So if you replace your x with an x plus six,

Well it's going to shift everything six to the left,

and if that doesn't make intuitive sense to you,

of the introductory videos on shifting transformations.

So everything is going to shift six to the left.

So this vertical asymptote is going to shift six to the left

it's gonna be, instead of being at x equals zero,

it's going to go all the way to x equals negative six.

This point right over here, which was at one comma zero,

And this point, which as at two comma one,

what is four time log base two of x plus six.

but now that's going to be four times higher,

'cause we're putting that four out front,

instead of being at one it's going to be at four.

of y is equal to log base two of x plus six.

And then the last thing we have to consider

but now we're going to subtract seven, so we're going to

go down one, two, three, four, five, six, seven,

I went off the screen a little bit, but let me see

if I can scroll down a little bit so that you can see that,

I moved this down from zero to negative seven,

and then this one I have to move down seven,

one, two, three, four, five, six, and seven,

That is the graph of y is equal to four times log base two

of x plus six minus seven, and we are done.

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對數函數圖解（例2）｜代數2｜可汗學院 (Graphing logarithmic functions (example 2) | Algebra 2 | Khan Academy)

approach

negative

intuitive

sense