Question
1. compared to the function y=f(x), the function y= -5f(x) can be described as the result of a reflection in the.... a. x-axis with a
1. compared to the function y=f(x), the function y= -5f(x) can be described as the result of a reflection in the....
a. x-axis with a vertical stretch by a factor of 5
b. y-axis with a horizontal stretch by a factor of 5 c. y-axis with a vertical stretch by a factor of 5 d. x-axis with a horizontal stretch by a factor of 5
2. the transformation of y=f(x) to y=f(1/2x) is a
a. horizontal stretch by a factor of 2
b. horizontal stretch by a factor of 1/2
c. vertical stretch by a factor of 2
d. vertical stretch by a factor of 1/2
3. if the point (1,6) lies on the graph of y=f(x), then the y-coordinate the corresponding point on the graph of the transformed function y=2f(4x) is....
4.the point (-4 6) is on the graph of y=f(x). the coordinate pair of the point A mapped onto y=2f(x-3)+1
a. (7,-11)
b. (7,-10)
c. (1,-11)
d. (1,-10)
5. the vertex of the graph of f(x)=|x| is (0,0) and the vertex of the graph of y=-4f(5(x-4))+7 is (h,k). The value of h is __________.
6. the graph of the function y=f(x) is stretched horizontally by a factor of 1/2 and stretched vertically by a factor of 3. Then, it is reflected in the x-axis and translated 4 units to the left. the equation of the transformer function can be written as...
7. If applied to the function, f, the transformation (x,y) to (x+4,y-6) can also be written as
a. f(x-4)+6
b. f(x-4)-6
c. f(x+4)-6
d. f(x+4)+6
8.If the graph of y= f(x) has a y-intercept of 5 and an x-intercept of 4, the graph of y=f^-1(x) has an x-intercept of __________.
9. A translation of the graph of y=f(x) to y=f(x+2) will change
a. the shape and position of the graph.
b. the shape, but not the position of the graph.
c. the position, but not the shape of the graph.
d. neither the shape nor the position of the graph.
10. The point (x,y) lies on the graph of y=f(x). If the graph of y=f(x) isreflected across the y-axis and then reflected across the x-axis, the transformed point is
a. (y,x)
b. (-x,-y)
c. (-y,-x)
d. (x,y)
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