Compare each given function to its parent function, circling all appropriate des

Question

Compare each given function to its parent function, circling all appropriate descriptions, if any. 4.rx)=-5 tan x + 2 is a shift upward 2 units shift left 2 units r(,) = 4 sin(1+1)is a reflection in y shift right 1 unit stretch vertically by shift right 2 units stretch vertically by 5 reflection in the y-axis 5. shift upward 1 unit stretch vertically by stretch horizontally by 4 shift right 4 units Consider the function y 3 cos (2 (x-?))-1 to answer the following questions. 6. The period of this function is_ 7. This function has a horizontal shift of 8. This function has a vertical shift of 1unit oun 9. The amplitude is S , the maximum is , and the minimum is -4 10. The parent function to the function given is yecas 2X 11. Graph the given function and its parent function. Be sure to label each graph.

Explanation / Answer

4. Your answers are correct except the reflection. Here the parent function is tanx. Shifting up by 2 units, the function become tan(x)+2. 5tan (x) means stretching vertically by 5 units. -tan(x) means reflection about x axis not Y axis.

5.The parent function is, sin t. Shifting it horizontally to the left by 1 unit becomes, sin (t+1). Stretching it vertically by 4 units give 4sin (t+1). Hence none of the options give the correct choice.

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