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sveta [45]
3 years ago
5

Also these 2 :) determining the vertex and shifts/translations

Mathematics
1 answer:
Mrrafil [7]3 years ago
6 0

Answer:

The answer to your question is below

Step-by-step explanation:

A) f(x) = x² + 4x + 1

Find the vertex

       y = x² + 4x + 1

-Subtract 1 in both sides

      y - 1 = x² + 4x

-Complete the perfect trinomial square in the right side

     y - 1 + (2)² = x² + 4x + (2)²

-Simplify

     y - 1 + 4 = (x + 2)²

     y + 3 = (x + 2)²

-Find the vertex

      V = (-2, -3)

B)

   f(x) = x²

   g(x) = (x - 4)² - 2      See the picture below

Shifted right           4 units

Shifted down         2 units

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I really need help with this
photoshop1234 [79]

Answer:

A+6+A = 20

A = 7

Step-by-step explanation:

J = number of problems Juana completed

A = number of problems Andy completed

J+A=20

J = A + 6

Replace J with A+6 in the first equation

A+6+A = 20

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2 years ago
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Mark and Zoe are hiking a trail. Mark starts before Zoe. The expression 2t + 100 represents how far, in meters, Mark has hiked t
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Answer: No

Step-by-step explanation:

The distance hiked of Mark is represented by 2*t + 100

and the distance hiked of Zoe is represented by 2*t

here, you can see that the slope of both equations is equal, this means that in the same lapse of time, Zoe and Mark displace the same amount, but because Mark started earlier, he has a y-intercept bigger than zero, so for every value of t, the distance that Mark hiked will be higher than the one of Zoe.

We can represent this by:

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100 > 0

So the distance hiked by Mark is always bigger than the one of Zoe

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