Cracking The SAT Premium

(Marvins-Underground-K-12) #1
29.Which    of  the following   is  an  equivalent  form    of  the equation    of  the graph   shown   in  the

xy-plane    above,  from    which   the coordinates of  vertex  V   can be  identified  from    constants
in the equation?
A) y = (x − 2)^2 – 16
B) y = x(x − 4) – 12
C) y = (x − 6)(x + 2)
D) y = (x + 6)(x − 2)

Here’s How to Crack It


Looking at the graph tells you that the vertex of the parabola is at about (2, –16). Only (A) has the
numbers 2 and 16 in it, so it must be the correct answer. If more than one choice had these constants, you
could use your knowledge of the vertex form. If you recognize that the question is asking for the vertex
form of the equation of the parabola, you can simply select (A), the only choice that actually uses that
form. Finally, if you forget the form, you can multiply out the answers to see which of them match the
original equation. Of course, the test writers have written the answers such that all but (D) are equivalent,

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