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kirill [66]
3 years ago
12

Suppose that F(x) = x^2 and G(x) = 2x^2-5. Which statement best compares the graph G(x) with the graph of F(x)?

Mathematics
2 answers:
notsponge [240]3 years ago
8 0
I believe the correct answer from the choices listed above is option  D. The graph <span>G(x) as compared to the graph of F(x) would be that the </span><span>graph of G(x) is the graph of F(x) stretched vertically and shifted 5 units down. 2 is a stretch factor and -5 is the shift downwards of the graph. Hope this answers the question.</span>
Trava [24]3 years ago
4 0

Answer:

D.The graph G(x) is the graph of F(x) stretched vertically and shifted 5 units down.

Step-by-step explanation:

We are given that

F(x)=x^2

G(x)=2x^2-5

We have to find that which statement compares best the graph G(x) with graph of F(x).

Graph of F(x) is the graph of parabola along y- axis with vertex (0,0).

Graph stretched vertically 'a' times by the formula y'=ay

Now, the graph F(x) is stretched vertically  2 times initial graph then

F'(x)=2x^2

Now , shift the graph 5 units down then we get

G(x)=2x^2-5

The general equation of parabola along y- axis is given by

y=(x-h)^2+k

Where (h,k)=Vertex

Compare the graph G(x) with the general equation of parabola then , we get h=0, k=-5

Therefore, vertex of G(x) is at (0,-5).

Hence, the graph G(x) is the graph of F(x) stretched vertically and shifted 5 units down.

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If I 50% increase is followed by a 33 1\3 % decrease is it greater, less than, or the same as the original
luda_lava [24]

Answer:

Greater than.

Step-by-step explanation:

Let the original value be x.

A 50% increase in x is given by

x + 50%x

=> x + 0.5x

=> 1.5x

Followed by a 33 \frac{1}{3} % decrease in the value gives:

1.5x - 33 \frac{1}{3} %(1.5x)

=> 1.5x - 0.33(1.5x)

=> 1.5x - 0.495x

=> 1.005x

Since 1.005x is greater than the original value, x, then:

A 50% increase followed by a 33 \frac{1}{3} % decrease gives a value that is greater than the original.

5 0
2 years ago
Diesel Inc. is making frames for a new product being launched at the end of the year. To keep the weight down, the area of the f
tresset_1 [31]
To answer, allow the width of the frame to be represented by x. The dimensions of the frame should then be, 11+2x and 6+2x. Subtracting the area of the inside of the frame from the area of the outside should be able to give us 18 cm². The equation,
                              (11 + 2x)(6 + 2x) - (11)(6) = 18
The value of x from the equation is equal to  0.5. Thus, the width of the frame should be 0.5 cm. 
7 0
2 years ago
Please help me I will give you Brainlist
jolli1 [7]
If you start at -40 you need 40 to get to 0 then add 40 to get there so B probly or C D
4 0
3 years ago
PT= 5x+3 and TQ= 8x -6 <br> What is PT=
atroni [7]
8x because 5 plus 3 is eaght and you dont know what x equals so you just put it behind the number
8 0
3 years ago
1. <br> Which is the graph of the exponential function y = 0.5(0.5)x?
zubka84 [21]

Answer:

The answer is B

Step-by-step explanation:

6 0
2 years ago
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