Question

Transform the solid black function to match the dotted function.
y= Voc
I f(x+
fx- +
O
+
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у
LO
9
00
8
N
6
5
4
3
2
1
1
-18 9 8
-6 54
-3
2
1
N
-1
-
3
4
in
X
5
7
8
9 to
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3
3
4
5
in
-6
-8
9
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-10

Answer 1

Transforming the solid line to the dotted line would change the equation of the functions

The equation of the dotted line is: $f(x) = -\sqrt{x - 6} + 3$

How to transform the function?

The equation of the solid line is given as:

y = √x

The solid line undergoes the following transformation to match the dotted line

• Reflection across the x-axis
• Translate 6 units right
• Translate 3 units up

The rule of the above sequence of transformations is:

(x,y) -> (x - 6, -y + 3)

Using the above transformation rule, the equation of the dotted line is:

$f(x) = -\sqrt{x - 6} + 3$

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