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Let's Review!: II. Determine Whether The Following Points Are Point On The Graph of

The document reviews calculating distances between points, determining if points lie on a graph, and expanding squares of binomials. It provides examples of each type of calculation and then lists additional practice problems to solve in three sections.

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L Alcosaba
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47 views1 page

Let's Review!: II. Determine Whether The Following Points Are Point On The Graph of

The document reviews calculating distances between points, determining if points lie on a graph, and expanding squares of binomials. It provides examples of each type of calculation and then lists additional practice problems to solve in three sections.

Uploaded by

L Alcosaba
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Let’s review!

I. Find the distance between the points


Example: A(1, 4) and B(1, -2)

|𝐴𝐵| = √(1 − 1)2 + (−2 − 4)2 = √02 + (−6)2 = √36 = 6


1. A(1, 4) and C(-6, 4)
|𝐴𝐶| = ___________
2. B(1, -2) and C(-6, 4)
|𝐵𝐶| = __________
3. D(3.5, 4) and E(-4, 6.5) = _______
|𝐷𝐸| = __________

II. Determine whether the following points are point on the graph of
𝒙𝟐 + 𝒚𝟐 − 𝟏𝟐𝒙 + 𝟖𝒚 + 𝟑𝟔 = 𝟎
Example: A(2, -4)
22 + (−4)2 − 12(2) + 8(−4) + 36 = 4 + 16 − 24 − 32 + 36 = 0
Thus, point A is on the graph of the given equation
1. B(6, 0)
2. C(-2, 2)
1 4
3. 𝐸 ( , )
2 5

III. Expand the following square of binomials.


Example: (𝑥 − 3)2
(𝑥 − 3)2 = 𝑥 2 + 2(−3)(𝑥) + (−3)2 = 𝑥 2 − 6𝑥 + 9
1. (𝑦 + 4)2
3 2
2. (𝑥 − 4)

4 2
3. (𝑦 + )
7

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