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Blababa [14]
2 years ago
12

What are the transformations to this quadratic function y= (x+4) power of 2 - 8

Mathematics
1 answer:
I am Lyosha [343]2 years ago
4 0

Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.  

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).

The axis of symmetry occurs at <em>x = h</em>.

<em>a</em> =  determines whether the graph opens up or down, and makes the graph wider or narrower.

<em>h</em> = determines how far left or right the parent function is translated.

<em>k</em> = determines how far up or down the parent function is translated.

Going back to your quadratic function,

          y = (x + 4)² - 8

  • The vertex occrs at (-4, -8)
  • a is assumed to have a value of 1.
  • Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.  
  • Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.

Please mark my answers as the Brainliest, if you find this helpful :)

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3 years ago
Y=5x^3-3 {x=+_6} construct the data table
____ [38]
Data table for y = 5x³ - 3
Plug in the x to find the y-values.

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30+39+<4= 180

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Subtract 69 on both sides. 

<4= 111 degrees

<1 and <4 are supplementary and adjacent. They equal 180 degrees as well.

111+<1= 180

<1= 69 degrees

I hope this helps!
<em>~kaikers</em>
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3 years ago
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You can use a calculator to get a more approximate answer. If you have a TI calculator, you can use the "normalcdf" function to type in normalcdf(-1,1)
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