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Instructions: Based on the information given in the problem, select the accurate transformation.What is the effect on the graph of the function f(x)=4(3)x𝑓(𝑥)=4(3)𝑥 when f(x)𝑓(𝑥) is replaced with f(x)+7𝑓(𝑥)+7?Translate Answer 1 Question 7 77 units Answer 2 Question 7CheckQuestion 7

Question

Instructions: Based on the information given in the problem, select the accurate transformation.What is the effect on the graph of the function f(x)=4(3)x𝑓(𝑥)=4(3)𝑥 when f(x)𝑓(𝑥) is replaced with f(x)+7𝑓(𝑥)+7?Translate Answer 1 Question 7 77 units Answer 2 Question 7CheckQuestion 7

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Solution

The effect on the graph of the function f(x)=4(3)x when f(x) is replaced with f(x)+7 is a vertical shift upwards by 7 units. This is because adding a constant to a function results in a vertical shift of the graph of the function. The direction (up or down) depends on the sign of the constant. In this case, since we are adding 7, the shift is upwards.

Similar Questions

What kind of transformation converts the graph of f(x)=4(x+7)2–2 into the graph of g(x)=4(x+1)2–4?translation 6 units left and 2 units downtranslation 6 units right and 2 units downtranslation 2 units right and 6 units uptranslation 2 units right and 6 units downSubmit

What is the effect on the graph of the function f(x)=4x𝑓(𝑥)=4𝑥 when f(x)𝑓(𝑥) is replaced with f(x−2)𝑓(𝑥−2)?Question 18Select one:Translate horizontally 2 units right.Translate horizontally 2 units left.Translate vertically 2 units up.Translate vertically 2 units down.

What is the effect on the graph of the function f(x)=4x𝑓(𝑥)=4𝑥 when f(x)𝑓(𝑥) is replaced with f(x+5)𝑓(𝑥+5)?Question 9Select one:Translate vertically 5 units up.Translate vertically 5 units down.Translate horizontally 5 units right.Translate horizontally 5 units left.

Start with the graph of 𝑓⁡(𝑥)=4𝑥. Then write a function that results from the given transformation.Shift 𝑓⁡(𝑥) 7 units left

The function 𝑓(𝑥) is transformed to 𝑔(𝑥) by a horizontal shift by 𝑎 units to the left and vertical stretch  by 𝑏 units.Under this transformation, a point 𝐴(2,1) on the graph of 𝑓(𝑥) is transformed to a point 𝐵(0,3) on the graph of 𝑔(𝑥).Find the transformed function 𝑔(𝑥).

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