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Larinadiaz5554
14.07.2020 •
Mathematics
Describe how to transform the graph of f(x) = x* to obtain
the graph of the related function g(x) = f(-4(x - 3)) + 1.
Then draw the graph of g(x).
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Ответ:
Step-by-step explanation:
Parent function is, f(x) = x²
For x = -4(x - 3),
f[-4(x - 3)] = [-4(x - 3)]²
= 16(x - 3)²
= 16(x - 3)²
g(x) = 16(x - 3)² is the transformed form of the graph f(x).
Here 16 (Coefficient of x²) represents the vertical stretch of the parent function by 16 units.
Followed by a translation of the function by 3 units right.
Table of input and output values of g(x),
x 0 1 2 3 4 5
y -48 -32 -16 0 16 32
Now plot these points on a graph and join them.
Ответ:
X=5
Y=3
Step-by-step explanation:
X-Y=2
5-3=2
3(5)+8(3)=39