The figures will be similar (and also congruent) for the transformations ...
(-x, y)
(x+2, y-5)
(x, y)
_____
The transformation (2x, 4y) expands the figure twice as much in the vertical direction as in the horizontal direction. The result will not be similar to the original.
Hi!
This is definitely a trapezoid, as it has two equal sides and two inequal sides. It's not a parallelogram, because two sides eventually intersect. It is a quadrilateral, because it has four sides.
None of the others apply here.
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Answer:
Equation of the parabola: y = 3 - 7x^2
Step-by-step explanation:
The equation of the parabola with vertex (h,k) is y = a(x - h)^2 + k
Thus, the equation of this parabola is y = ax^2+3
To find a, use the fact that the parabola passes through the point (1,−4):
-4 = a(1)^2 +3
Solving this equation, we get that a = −7.
Thus, the equation of the parabola is y = 3 − 7x^2.
Because negative times a negative = the negative of what is being negative so you get the inverse of what ever a is = to at that point