Carter and his family are driving from Atlanta to Raleigh. They drive for 2 hours and 45 minutes at an average speed of 60 miles
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The parabola with with a vertex at (-4,-2) represents any member of parabolas with the equation where
is any real number with the exception that
.
The reason any equation of the form works is that there are an infinite number of parabolas with a vertex at (-4,-2). All of these parabolas are formed by applying some transformation that involves a vertical translation of -2 and a horizontal translation of -4 on the parabola
. The different variations are archived by varying the constant
. When
is negative, the parabolas will face downwards. When
is negative, the parabolas will be face downwards.