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VARVARA [1.3K]
3 years ago
15

Solve −3.5 = x 4 for x using the multiplication property of equality. x=

Mathematics
2 answers:
ss7ja [257]3 years ago
6 0

Answer:

<em>The operation in the problem is</em>

Division

<em>The inverse operation is </em>

Multiplication

-14  = x

Step-by-step explanation:

tigry1 [53]3 years ago
3 0

1. Division

2. Multiplication

3. -14

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What is the equation of the graph obtained when the parent graph y=x^3 translated 4 units left and 7 units down?
yuradex [85]

y = (x + 4)³ - 7

<h3>Further explanation </h3>

There are four types of transformation geometry:  

  • translation (or shifting),  
  • reflection,  
  • rotation, and  
  • dilation (stretching or shrinking).  

In this case, the transformation is shifting vertically and horizontally.

  • Translation (or shifting): moving a graph on an analytic plane without changing its shape.  
  • Vertical shift: moving a graph upwards or downwards without changing its shape.  
  • Horizontal shift: moving a graph to the left or right downwards without changing its shape.  

Vertical Shift

Given the graph of y = f(x) and v > 0, we obtain the graph of:  

  • \boxed{ \ y = f(x) + v \ } by shifting the graph of \boxed{ \ y = f(x) \ } upward v units.  
  • \boxed{ \ y = f(x) - v \ } by shifting the graph of \boxed{ \ y = f(x) \ } downward v units.  

Horizontal Shift

Given the graph of y = f(x) and h > 0, we obtain the graph of:  

  • \boxed{ \ y = f(x + h) \ } by shifting the graph of \boxed{ \ y = f(x) \ } to the left h units.  
  • \boxed{ \ y = f(x - h) \ } by shifting the graph of \boxed{ \ y = f(x) \ } to the right h units.

- - - - - - - - - -

<u>Given:</u>

The parent graph \boxed{ \ y = x^3 \ }

<u>Question:</u>

What is the equation of the graph obtained when the parent graph y=x^3 translated 4 units left and 7 units down?

<u>The Process:</u>

Clearly, we must translate the graph of \boxed{ \ y = x^3 \ } to obtain the new equation of the graph.

\boxed{ \ y = x^3 \ } translated 4 units left.

It becomes \boxed{ \ y = (x + 4)^3 \ }

Furthermore, \boxed{ \ y = (x + 4)^3 \ } translated 7 units down.

Thus, the result is \boxed{ \ y = (x + 4)^3 - 7 \ }

<u>Conclusion </u>

Thus, when the parent graph of y = x³ translated 4 units left and 7 units down, the result is the equation of the graph y = (x + 4) ³ - 7

<h3>Learn more   </h3>
  1. Transformations that change the graph of f(x) to the graph of g(x) brainly.com/question/2415963
  2. The similar problem brainly.com/question/1369568
  3. Which equation represents the new graph brainly.com/question/2527724

Keywords: what is the equation, the graph, y = x³, which, correctly, y = (x + 4)³ - 7, obtained, when ,the parent, translation, shift, left, down, up, upward, units, horizontal, vertical , transformation

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