If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function
1 answer:
Answer:
The equation of the new function is
Step-by-step explanation:
Suppose we have a function f(x).
a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.
f(x - a) is shifting f(x) a units to the right.
f(x + a) is shifting f(x) a units to the left
In this question:
Vertically compressing by 1/2:
This is the same as multiplying the function by 1/2. So
The equation of the new function is
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The attached image represents the triangle after it has been enlarged
<h3>How to enlarge the triangle?</h3>The given parameters are:
- Scale factor, k = -1/3
- Center, (a,b) = (-1,2)
From the graph, the coordinates of the triangle are:
A = (-4,2)
B = (-4,-4)
C = (-1,-4)
The rule of dilation is calculated using:
So, we have:
A' = (0, 2)
B' = (0, 4)
C' = (-1, 4)
See attachment for the image of the triangle, after it has been enlarged
Read more about dilation at:
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