Using translation concepts, the graph of g(x) is given at the end of the question.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
.
With the changes, we have that:
- f(-x) is the function reflected over the y-axis.
- f(-x) - 2 is the function reflected over the y-axis and shifted 2 units down.
Hence the function will be given by:
.
The graph is given at the end of the answer.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
-2
Step-by-step explanation:
-7(-2) = 14
14 =14
Answer:
6
Step-by-step explanation:
If she wants to go from 18, to 9, which is 1/2, then she’d have to cut the time in half as well. 12 divided by 2 is 6!
Hope this helped you!
Given inequalities are
and

Now we will graph both inequalities to get the common region which represents solution.
<u>Work for
</u>
first we graph the line x+y=4 then shade the graph for inequality symbol
we can plug any random number for x and find y-value to get points
lets plug x=0 then we get:
x+y=4
0+y=4
y=4
so the point is (0,4)
Similarly we can find more point like (4,0).
Now graph both points and join both points by straight line.
Now we find direction of shading.
pick any test point which is not on that line x+y=4 say (0,0)
and plug it into orinal inequality
which is true.
True means shade in direction of test point. Otherwise we shade in opposite direction.
We will repeat same process for other inequality to graph that.
Hence final graph for the answer will be as shown in attached image.
Triangular region ABC is final answer.
Answer:
Step-by-step explanation:
Coordinates of point B = (8, -6)
<u>Reflection across the x-axis results in:</u>
<u>Coordinates of B'</u>
- (8, -6) → (8, -(-6)) = (8, 6)