Matias gets dressed in the dark one morning and chooses his clothes at random. He chooses a shirt(green, red or yellow) a pair o
1 answer:
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Answer:
M' (5,-1)
D' (5,1)
A' (3,4)
W' (4,-1)
Step-by-step explanation:
We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.
We can find these coordinates by following the following rule:
Reflection over y = x rule : ( x , y ) ---> ( y , x )
Explanation of rule: Simply swap the places of the x and y values.
Applying rule to given coordinates:
M(-1,5) -----> swap x and y values -----> M'(5,-1)
D(1,5) ----> swap x and y values -----> D'(5,1)
A(4,3) -----> swap x and y values -----> A'(3,4)
W(-1,4) -----> swap x and y values -----> W'(4,-1)
So the coordinates of Quadrilateral MDAW after a reflection over the y = x line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)
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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:
.