1) The function f(x) = x2 is transformed to f(x) = 1/2(x − 2)2. Which statement describes the effect(s) of the transformation on the graph of the original function? A) The parabola is narrower and shifted 2 units to the right. B) The parabola is narrower and shifted 2 units to the left. C) The parabola is wider and shifted 2 units to the right. D) The parabola is wider and shifted 2 units to the left.
PLEASE ANSWER
1) The function f(x) = x2 is transformed to f(x) = 1/2(x − 2)2. Which statement describes the effect(s) of the transformation on the graph of the original function?
A) The parabola is narrower and shifted 2 units to the right.
B) The parabola is narrower and shifted 2 units to the left.
C) The parabola is wider and shifted 2 units to the right.
D) The parabola is wider and shifted 2 units to the left.
2) The function f(x) = x2 is transformed to f(x) = 0.4(x + 1)2. Which statement describes the effect(s) of the transformation on the graph of the original function?
A) The parabola is wider and shifted 1 unit to the left.
B) The parabola is wider and shifted 1 unit to the right.
Eliminate
C) The parabola is narrower and shifted 1 unit to the left.
D) The parabola is narrower and shifted 1 unit to the right.
3) Quadratic functions "q" and "w" are graphed on the same coordinate grid. the vertex of the graph of "q" is 11 units below the vertex of the graph of "w". Which pair of functions could have been used to create the graphs of "q" and "w"?
A) q(x) = 11x2 and w(x)= x2
B) q(x) = x2 + 11 and w(x)= x2
C) q(x) = -11x2 and w(x)= x2
D) q(x) = x2-11 and w(x)= x2
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