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fomenos
4 years ago
13

The graph of F(x), shown below, has the same shape as the graph of G(x) = 3x2, but it is shifted down 4 units. What is its equat

ion? 

Mathematics
2 answers:
navik [9.2K]4 years ago
5 0
Shifting down 4 means you are taking away 4.
F(x) = g(x) - 4 = 3x^2 - 4
igor_vitrenko [27]4 years ago
4 0

Answer:

C is correct.  The equation of F(x) would be 3x²-4

Step-by-step explanation

We are given a graph of G(x)=3x²

The graph of F(x) is same as graph of G(x) but it shifted down 4 units.

As we know when graph shift down or up. It would be vertical shift. So, It will change in the value of y.

If graph shift 4 unit down then the value of y decrease by 4.

If y=f(x) and shift a unit down then new graph would be y=f(x)-a.

Likewise, G(x)=3x²

We get F(x) if shift 4 unit down G(x)

Therefore, F(x)=3x²-4

Thus, The equation of F(x) would be 3x²-4

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Leon graph y=12- 0.05 x to represent the number of gallons of gas left in his car after driving x miles.
mario62 [17]

Answer:

B

Step-by-step explanation:

Range of the graph is the ALLOWED y-values. The y-axis is number of gallons left in tank. So, <u><em>it cannot be NEGATIVE number of gallons, so 0 is the lower limit of the range.</em></u>

<u><em /></u>

As we can see from the axis of the graph, we see where the line cuts the y-axis, that is the upper limit of number of gallons he starts off with. The y-intercept (y-axis cutting point) is 12.

So we can say that the range is  0 ≤ y ≤ 12

Correct answer is B

5 0
3 years ago
What is the equation of -7 increased by a number n is 12
777dan777 [17]
-7+n=12
this leaves us with n=19
6 0
3 years ago
A rhombus and a triangle are equal in areas. if the base and height of the triangle are 24.8 cm and 5.5 cm respectively and the
ipn [44]

<h2>Given :-</h2>

  • Area of Rhombus = Area of Triangle

  • Base and Height of Triangle is 24.8 cm and 5.5 cm respectively .

  • Length of one diagonal of the rhombus is 22 cm .

<h2>To Find :-</h2>

  • Length of other Diagonal

<h2>Solution :-</h2>

As we know that

Area of triangle = ½ × Base × Height

  • Area = ½ × 24.8 × 5.5
  • Area = 1 × 12.4 × 5.5
  • Area = 12.4 × 5.5
  • Area = 68.2 cm²
<h3 /><h3>Now,</h3><h3 />

Area of rhombus = ½ × D1 × D2

  • 68.2 = ½ × 22 × D2
  • 68.2 × 2 = 22 × D2
  • 136.4 = 22 × D2
  • 136.4/22 = D2
  • 6.2 = D2
  • D2=6.2

<h2>Hence :-</h2>

<h3>Other Diagonal is 6.2 cm.</h3>

\begin{gathered} \\ \end{gathered}

7 0
3 years ago
The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?
anzhelika [568]

Answer:

56 feet

Step-by-step explanation:

The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?

From the above question, our ratio is given as:

Width : Length

5 : 7

Width = 40 feet ,

To solve for the Length, let us represent the length as x

Width/Length

= 5/7 = 40/x

Cross Multiply

5 × x = 7 × 40

x = 7 × 40/5

x = 56 feet

Hence: The length of the rectangular flower bed = 56 feet

6 0
3 years ago
&gt;_&lt; I need some help pls,
34kurt

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Step-by-step explanation:

This equation allows you to find out how many visits would create an even rate for both gyms.

7 0
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