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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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