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patriot [66]
3 years ago
10

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

?
Mathematics
1 answer:
Aliun [14]3 years ago
5 0
For this case, the parent function is given by:
 G (x) = x ^ 2

 Applying the following transformation we have:
 Vertical displacement
 Assume k> 0,
 To graph y = f (x) + k, move the graph k units up.
 We have then:
 F (x) = G (x) + 3

F (x) = x ^ 2 + 3
 Answer:
 
the equation of F (x) is given by:
 F (x) = x ^ 2 + 3
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What is an equation of the line that passes through the points (6,2) and
S_A_V [24]

(\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{6}}}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-2=-x+6\implies y=-x+8

6 0
2 years ago
You have a set of nested boxes whose lengths vary directly with their widths. One box is 2.5 in, wide and 5.5 in. long. A second
Anna11 [10]

Answer:

B

Step-by-step explanation:

If you're looking for direct correlation, you're looking for a proportion for the second box. So you set the ratio of 2.5:5.5 up as a fraction. 2.5/5.5 and set it equal to the second box 3/x.

2.5     =      3

5.5             x

cross multiply

16.5=2.5x

and divide

16.5/2.5 and you get your answer

7 0
3 years ago
Find an equation of the line passing through the pair of points (2,3) and (5,9). Write the equation in the form Ax + By = C.
8090 [49]

Answer:

- 2x +  y  = - 1 , so the B is correct.

Step-by-step explanation:

+ Because of "the line passing through the pair of points (2,3) and (5,9)", that means the line has the equation y = ax + b where a = (9-3)/(5-2)= 6/3= 2

+ So the equation is y = 2x + b.

+ Then we replace x= 2 and y= 3 into y = 2x + b for finding  like:

3 = 2*2 + b or 3 = 4 + b, so we find b = 3 - 4 = - 1.

+ The equation of this line is y = 2x - 1 or in the form:

                                  2x - y - 1 = 0 (or -2x + y = -1)

Have a good day!

7 0
4 years ago
10=c+d<br> c is one more than d <br> what is the value of c?<br>with working out
Leya [2.2K]
C= 5.5 I'm pretty sure that's the answer

d= 4.5 and c+ 5.5
Because 4.5 plus 1.0 = 5.5
since c is one more than d

5.5 plus 4.5 = 10
5 0
3 years ago
Explain in a minimum of 2 sentences how to graph the equation of the absolute value function given a vertex of (-1,3) and a valu
liraira [26]
First, we put a point at the vertex. Then, we extend a line upwards of slope 1/2 to the right of the vertex. Then extend a line upwards of slope -1/2 to the left of the vertex. This will give the graph of the equation.
7 0
3 years ago
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