What transformations change the graph of f(x) to the graph of g(x)? f(x)=x^2 g(x)=(x+3)^2-7

Mathematics

2 answers:

kap26 [50]3 years ago

8 0

The graph of g is the graph of f translated to the left 3 units and down 7 units .

valentina_108 [34]3 years ago

3 0

Answer:

The graph of g is the graph of f translated to the left 3 units and down 7 units

Step-by-step explanation:

As you can see, the F(X) graph has its origin on (0,0) since when X is equal to 0, Y will be equal as 0 as well, so having both quadratic graphs, we just have to see how the graph is translated, in this case you just have to make x=0, when X is equal to 0 on g(x) Y=-7, so the graph will be translated 7 units down, the only option you have that has the graph tranlated 7 units down is option 2:"The graph of g is the graph of f translated to the left 3 units and down 7 units"

And that is your correct answer.

You might be interested in

320 is decreased to 304

jeka57 [31]

Simple..

320-304
= 116

Your answer is 116

Happy Studying ^=^

8 0

3 years ago

Tanya drove 312 hours and used 13 tank of gas. For how long could Tanya drive using 12 tank of gas? In simplest form.

madreJ [45]

312/13=24
24*12= 288 hours

5 0

3 years ago

Read 2 more answers

William is planning to create a rectangular mosaic which measures 120 cm by 144 cm. The mosaic will be covered completely with s

solmaris [256]

Answer:

Step-by-step explanation:

We need to find the greatest common factor of 120 and 144.

First, write the prime factorization of both:

120 = 2³×3×5

144 = 2⁴×3²

Both have 2³ and 3 in common, so the GCF is:

GCF = 2³×3

GCF = 24

So the side length is 24 cm. The number of squares along the width is:

120 / 24 = 5

And the number of squares along the length:

144 / 24 = 6

So the number of squares need to fill the entire area is 5×6 = 30. This is the least number of squares with whole-number side lengths that he can use.

5 0

3 years ago

A U.S. Travel Data Center survey of 500 adults found that 195 said they would take more vacations this year than last year. Cons

Lelechka [254]

Using the z-distribution, it is found that the 95% confidence interval for the true proportion of adults who said that they will travel more this year is (0.347, 0.433).

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.