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Mathematics 6 Online
artlover03:

Graph the parabola. *POSTING EQUATION* Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.

artlover03:

\[y=x^2+4\]

snowflake0531:

Do you want to use desmos? That would be the easiest Or, we could also plug in random values of x

artlover03:

desmos is fine; im not really familiar with it tho

snowflake0531:

Okay, well, it would be good for you to know how to do it anyways. So, let's not use desmos for now

snowflake0531:

Do you think you know how to find the vertex?

snowflake0531:

Yes or no lol

snowflake0531:

Do you know what the function of the graph of x^2 looks like?

artlover03:

no

snowflake0531:

i- one sec

snowflake0531:

Do you know what a parabola is?

artlover03:

sorta..yea ive taken algebra 1, geometry, liberal arts, and math for college readiness and im still lost in all math; im familiar with it

snowflake0531:

If you've taken algebra 1, you should know what a parabola is

snowflake0531:

That, is the parent function of ^^^

artlover03:

ok.. now what?

snowflake0531:

So, +4, it would be a vertical shift, which means it goes up by 4 units So, do you know where teh vertex would be?

snowflake0531:

You could just tell me yes or no

artlover03:

yes

snowflake0531:

Then what is the coordinate point

artlover03:

im not sure

snowflake0531:

I- then why'd you tell me yes-

snowflake0531:

The vertex of the parent function, x^2, is the origin. As I've said before, adding the +4 in this is a vertical shift, so it goes up 4. So, the vertex is (0,4)

snowflake0531:

Get that? maybe? no?

snowflake0531:

@artlover03, it would be nice if you replied each time-_-

snowflake0531:

So then, we have two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function button.

snowflake0531:

So, since this is symmetrical to the y-axis Whatever negative x value you plug in, the absolute value of that, and the y value stays the same For example, if I put in -2 or 2, the y for both is 8

snowflake0531:

So, i already gave you two points You can use another random value and plug it in

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