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<h3><u>Explanation</u></h3>
- Given Equation
- Transformation
A constant inside the square root will make the graph shift either left to right, depending on the number. From the equation. The graph shifts to right two units.
A constant outside the square root will make the graph shift up or down, depending the value. From the equation, the graph shifts up 3 units.
<h3><u>Answer</u></h3>- Second Image, the first one where x = 2 and y = 3.
Answer:
Option c. Reflection across the x-axis and vertical stretch by a factor of 7
Step-by-step explanation:
If the graph of the function represents the transformations made to the graph of
then, by definition:
If then the graph is compressed vertically by a factor a.
If then the graph is stretched vertically by a factor a.
If then the graph is reflected on the x axis.
In this problem we have the function and our paretn function is
therefore it is true that
.
Therefore the graph of is stretched vertically by a factor of 7 and is reflected on the x-axis
Finally the answer is Option c
(f o g)(x)=f(g(x))
so
h(x)=f(g(x))
hmm, see the differences
x+7=g(x)+1
x+6=g(x)
g(x)=x+6
so
h(x)=f(g(x))
hmm, see the differences
x+7=g(x)+1
x+6=g(x)
g(x)=x+6