Let f(x)=8x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 and a translation of 7 units down. What is an equation for g(x)?
1 Answer
Explanation:
In
•
#a# represents the vertical stretch•
#b# represents the horizontal stretch•
#c# represents the horizontal translation•
#d# represents the vertical translation
We are given that
Therefore, the equation of
#g(x) = 4(8x) - 7 =32x - 7#
Practice Exercises
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Consider the function
#f(x) = x^3# .#f(x)# undergoes a vertical transformation of#5# units down and a horizontal translation of#2# units right. It is reflected over the x-axis. What is#f(x)# 's new equation? -
The point
#(6, -4)# lies on the graph of function#g(x)# . What are the coordinates of the point that will lie on#2g(3x - 9) + 1# ?
Solutions
#f(x) = -(x - 2)^3 + 2# #(5, -7)#
Hopefully this helps!
