Question

quadratic function

Answer 1

Identify all the points that are on the following quadratic function: y = x2 - 3x

Answer 2

do you think these roots of this quadratic ?

Answer 3

or what mean exactly ,,identify all points that are on ... ?

Answer 4

i don't understand /:

Answer 5

@AloneS, do you know how to factor out stuff?

Answer 6

Think about what you would get if you graphed a quadratic...you would get a parabola

This parabola would have a maximum/minimum point *the vertex* and it would also have roots *whether they be real or complex*

Answer 7

yes

Answer 8

So what do x^2 and -3x have in common?

Answer 9

they have x in common

Answer 10

So pull out an x and you get something like this:
x(x-3)
Now what do you think you do?

Answer 11

well umm simplify?

Answer 12

Set the equation equal to zero and solve for x.

Answer 13

x(x-3) = 0

Answer 14

jeez, i'm confused

Answer 15

Okay, so think of it this way, you need to find the x values when y = 0, right?

Answer 16

So you set the original equation
0 = x^2 - 3x

Answer 17

You factor out some stuff:
0 = x(x-3)

Answer 18

Then you solve for x.
0 = x - 3
*** Remember, when you divide by x, x = 0
x = 3

Therefore x = 3 and x = 0.
You can confirm this by graphing the equation on desmos.

Answer 19

i got (0,3) and (0,0)

Answer 20

If they're asking to identify all the points, then it's a parabola.
If you're just looking for the roots then (0,0) is one and the other (3,0) ^^

Answer 21

@AloneS It would be (0,0) and (3,0), because you are looking for when y = 0, what the x values equal, which we found to be 3 and 0.

Answer 22

Yea that's what i got


Lol math i confused my self with u xP