What is the image of the point (-6,2) after a 90 degree counterclockwise rotation
1 answer:
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Answer:
Choice B: .
Step-by-step explanation:
For a parabola with vertex , the vertex form equation of that parabola in would be:
.
In this question, the vertex is , such that
and
. There would exist a constant
such that the equation of this parabola would be:
.
The next step is to find the value of the constant .
Given that this parabola includes the point ,
and
would need to satisfy the equation of this parabola,
.
Substitute these two values into the equation for this parabola:
.
Solve this equation for :
.
.
Hence, the equation of this parabola would be:
.
<h3>Answers:</h3>
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Work Shown:
Part 1
Notice how I replaced every x with g(x) in step 2. Then I plugged in g(x) = x^2+6 and simplified.
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Part 2
In step 4, I used the rule (a+b)^2 = a^2+2ab+b^2
In this case, a = sqrt(x-1) and b = 5.
You could also use the box method as a visual way to expand out