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Transformations of Quadratic Functions Assignment (1)
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Transformations of Quadratic FunctionsAssignment
Which of the following transforms y=x2 to the graph of y=(x+5)2? - ANS-A translation 5
units to the left
Which of the following transforms the graph of y=x2 to the graph of y=x2-7? -
ANS-Translation 7 units down
The graph of y = -0.2x2 is _______________, the graph of y = x2. - ANS-wider than and
opens in the OPPOSITE direction of
The graph of y = 5x2 is _______________, the graph of y = x2. - ANS-narrower than
and opens in the SAME direction as
Write the equation of the function whose graph is shown. y = (x + ___ )2 + ___ - ANS-y
= (x - 5)2 + 3 (usually put -5 on it because you have to change the sign)
1. To obtain the graph of y = (x - 8)2, shift the graph of y = x2
2. To obtain the graph of y = x2 - 6, shift the graph of y = x2 - ANS-A. right, 8
B. down, 6
A ball is thrown straight up from a height of 3 ft with a speed of 32 ft/s. Its height above
the ground after x seconds is given by the quadratic function y = -16x2 + 32x + 3.
Explain the steps you would use to determine the path of the ball in terms of a
transformation of the graph of y = x2. - ANS-Sample Response:
Complete the square to get the equation in vertex form with a = -16, h = 1, and k = 19.
The path is a reflection over the x-axis and narrower. It is also translated right 1 unit and
up 19 units.
Which of following is the graph of y = -(x + 1)2 -3? - ANS-The Third Graph
1. The vertex of the graph of y = (x - 1)2 - 5 is
2. The vertex of the graph of y = -4(x + 3)2 + 2 is - ANS-A. (1,-5)
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