A student is attempting to solve a multi-step equation. Sample mathematical work is shown below. Which statement best applies to
the sample mathematical work?
Given the equation , I must solve for m. I first subtract 8 from both sides, which gives me
−m/2
= -25/3. I then multiply both sides by –2, which gives me the final answer of m=50/3
A) The student incorrectly subtracted 8 from both sides.
B) The student incorrectly multiplied both sides by –2.
C) The final answer is not reduced or simplified.
D) The mathematical work shown is correct
Given the equation , I must solve for m. I first subtract 8 from both sides, which gives me
−m/2
= -25/3. I then multiply both sides by –2, which gives me the final answer of m=50/3
A) The student incorrectly subtracted 8 from both sides.
B) The student incorrectly multiplied both sides by –2.
C) The final answer is not reduced or simplified.
D) The mathematical work shown is correct
1 answer:
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Answer:
I assume that the function is:
Now let's describe the general transformations that we need to use in this problem.
Reflection across the x-axis:
For a general function f(x), a reflection across the x-axis is written as:
g(x) = -f(x)
Reflection across the y-axis:
For a general function f(x), a reflection across the y-axis is written as:
g(x) = f(-x)
Then a reflection across the y-axis, and then a reflection across the x-axis is just:
g(x) = -(f(-x)) = -f(-x)
In this case, we have:
then:
Now we can graph this, to get the graph you can see below:
