A student is deriving the quadratic formula. Her first two steps are shown.
2 answers:
The polynomial in its standard form is:
The student's first step is:
The student's second step is:
The student's second step is to factor the remaining binomial on the right side of the equation.
In this case, the student made a common factor of the letter a.
Answer:
The sentence that best explains or justifies Step 2 is:
factoring the binomial
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A dilation is a transformation 
, with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'.
The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.
In a dilation of
, the scale factor, 
is mapping the original figure to the image in such a way that the
distances from O to the vertices of the image are half the distances
from O to the original figure. Also the size of the image is half the
size of the original figure.
Therefore, <span>If is a dilation of △ABC, the truth about the image △A'B'C'</span> are:
<span>AB is parallel to A'B'.
The distance from A' to the origin is half the distance from A to the origin.</span>
In a dilation of
Therefore, <span>If
<span>AB is parallel to A'B'.
The distance from A' to the origin is half the distance from A to the origin.</span>