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Mathematics 19 Online
OpenStudy (cloverracer):

Algebra II question, please see attachment!

OpenStudy (cloverracer):

Directrix (directrix):

I don't see any instructions for the problem on the attachment.

OpenStudy (anonymous):

Are those supposed to be roots of a problem? If so, just FOIL them together

OpenStudy (cloverracer):

Find a quadratic equation in standard form for each set of points @Directrix

OpenStudy (cloverracer):

i think it's either the first or second equation

Directrix (directrix):

If x = 0, y has to be +4 Look at the options. You can rule out the last two because of the +4 that results from substituting 0 in for x.

Directrix (directrix):

Look at the first two options and select one that we can use to test the given points to see if all of them are points of the function.

OpenStudy (cloverracer):

ohh okay

Directrix (directrix):

Let's test one of the top two. Which one?

OpenStudy (cloverracer):

try the first equation?

Directrix (directrix):

y = - x² + 5x - 4 We have to test this first for the point (0.4)

OpenStudy (cloverracer):

plug in 0 in the place of the x's?

OpenStudy (kyleighg):

Plug in the x for each equation and whichever one equals that x's y is correct

Directrix (directrix):

Yes.

Directrix (directrix):

I'll do the first point and you can do the other two if the first point fits the curve.

Directrix (directrix):

y = - x² + 5x - 4 Testing (0-,4) y = - (0) ² + 5*0- 4 y = 0 +0 - 4 = -4 So far, so good. It is your turn to test y = - x² + 5x - 4 for the point (1,0), okay?

OpenStudy (cloverracer):

\[f(x)=-1+5-4\] for (1,0)

OpenStudy (cloverracer):

or wait y = 1

Directrix (directrix):

What is -1 + 5 - 4 =

OpenStudy (cloverracer):

0

Directrix (directrix):

Correct. Now to check the last point.

OpenStudy (cloverracer):

\[-(2)^2 + 5(2) - 4 = y = 2\] for (2,2)

Directrix (directrix):

Correct. We have found the answer to the question.

OpenStudy (cloverracer):

which one would it be? like how do you make it in that form

Directrix (directrix):

This is the function we tested: f(x)= - x² + 5x - 4

OpenStudy (cloverracer):

Oh okay, brain fart lol

Directrix (directrix):

@CloverRacer Question?

OpenStudy (cloverracer):

No question, thank you for the explanation!

Directrix (directrix):

You are welcome. Thanks for participating in the discussion.

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