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AlexFokin [52]
2 years ago
12

Repost 8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect squar

e? Use x² -4x+4 as an example
Mathematics
2 answers:
san4es73 [151]2 years ago
7 0
1(x-2)^2+0 is the vertex form
Naddika [18.5K]2 years ago
3 0

Answer: Vertex : Maximum (2, 0)

Rules:

  • (x + d)² = x² + 2dx + d²    and   (x - d)² = x² - 2dx + d²
  • x² + 2dx = (x + d)² - d²   and  x² - 2dx = (x - d)² - d²

Solve:

x² - 4x + 4

x² - 2(2x) + 2²

(x - 2)²

Into vertex form: a(x - h)² + k

1(x - 2)² + 0

Identify:

vertex : (h, k) = (2, 0)

Find additional things, to graph the equation:

(i) x-intercept: (2, 0)

(ii) y-intercept: (0, 4)

Graph shown:

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Which point is located at (5, –2)?
siniylev [52]
Answer:
The correct answer is point D (5, negative 2)

Explanation:
The original point asked in the problem says (5, -2). When a number is positive, you do not have to annunciate that it is; in this problem you’d just say the number 5. This being said you can eliminate point A and point C. When listing a number on a coordinate plane you say it as it is. In this case, you would say “five, negative two” rewritten as (5,-2). This would eliminate point B because it is out of order and would bring you into a totally different quadrant. Point D is the only left answer making it correct. Hope this helps !!
7 0
3 years ago
Answer this please my teacher isnt available
Paraphin [41]

Answer:The length of one side would be 11

Step-by-step explanation:

5 0
3 years ago
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What is the product? 2x+8 x2 + 3x-4 x(x-4)(x-1) 20x+4) 2 (x+4)(x-4) 2x(x-1) 2x(x+4)​
guajiro [1.7K]

=−640x10+1280x9+19904x8−40728x7−144488x6+323904x5−162304x4+1024x3+2048x2

step by step

(2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x(x+4)

=((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(x+4)

=((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(x)+((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(4)

=−640x10+3840x9+4544x8−58904x7+91128x6−40608x5+128x4+512x3−2560x9+15360x8+18176x7−235616x6+364512x5−162432x4+512x3+2048x2

=−640x10+1280x9+19904x8−40728x7−144488x6+323904x5−162304x4+1024x3+2048x2

7 0
3 years ago
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Is the difference of 1.48-0.25 less or greater than one
adoni [48]

it is going to be greater than 1


4 0
4 years ago
(Find the distance between the points A(4, 3) and B(7,-1).​
lana66690 [7]

Answer:

5

Step-by-step explanation:

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