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lesantik [10]
3 years ago
5

Janet is training for a marathon. She decides to track her time per mile, in minutes, for 8 weeks. Which equation best fits the

data?

Mathematics
1 answer:
morpeh [17]3 years ago
4 0

Answer: y = -2x - 8.6

Step-by-step explanation:A graph is labeled as Marathon Training. The horizontal axis is labeled as Weeks and the vertical axis is labeled as Time per mile left parenthesis minutes right parenthesis. The values on the horizontal axis range from 0 to 10 in increments of 2 and the values on the vertical axis range from 0 to 10 in increments of 2. Nine points are marked on the graph with their coordinates approximately equal to (0, 10), (1, 9 decimal point 9), (2, 9 decimal point 6), (3, 9 decimal point 5), (4, 9 decimal point 4), (5, 9 decimal point 2), (6, 9), (7, 8 decimal point 7), and (8, 8 decimal point 6).

A.

y

=

0

.

18

x

+

10

.

06

B.

y

=

−

0

.

18

x

+

10

.

06

C.

y

=

2

x

+

8

.

6

D.

y

=

−

2

x

+

8

.

6

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Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = -x2 + 16x – 44?
KatRina [158]

Answer:

Only option D is one of the transformations needed.

Step-by-step explanation:

The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).

Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.

As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).

Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).

So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.

So, the three transformations needed are:

1. reflect over the x axis

2. shift right 8 units

3. shift up 20 units.

So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.

Sorry for the mistake!

8 0
3 years ago
Read 2 more answers
1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)
olga nikolaevna [1]

Transforming a shape involves changing the size and/or the location of the shape.

  • The rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)
  • The rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y).
  • The rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

<h3>Rigid transformation</h3>

When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.

An example of a rigid transformation is a reflection over the x-axis; and the rule is:

(x,y) \to (x,-y)

So, a rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)

<h3>Nonrigid transformation</h3>

When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar

An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:

(x,y) \to (0.5x,0.5y)

So, a rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y)

However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.

A rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

Read more about transformation at:

brainly.com/question/4289712

6 0
3 years ago
Let: f(x)=x+1 and g(x)=x^2-2 <br><br> find: f(x)•g(x)
lesya692 [45]

Answer: x3+x2−2x−2

Step-by-step explanation: Use the given functions to set up and simplify f ( x ) ⋅ ( g ( x ) ) .

Brainliest or a thank you please! have a great day/night

3 0
3 years ago
What is the reflection across the y-axis?
Allisa [31]

Answer:

c

Step-by-step explanation:

what ever it is you do the same on the other side

3 0
1 year ago
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Anyone got me with them quick maths?
Natali5045456 [20]

Answer:

Its B

Step-by-step explanation:

4 0
3 years ago
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