Answer:
The graph of y = f(x) will shift left 6 units, as shown in figure a.
Step-by-step explanation:
A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.
If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).
For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.
So, the graph of y = f(x) will shift left 6 units.
Keywords: graph shift, translation
Learn more about translation from brainly.com/question/3110598
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The polygon is reflected across the line y = 2 and rotate 360 clockwise about (2,4). Then the correct option is B.
<h3>What is a transformation of a point?</h3>
A spatial transformation is each mapping of feature space to itself, and it maintains some spatial correlation between figures.
The polygon is given below.
The polygon is reflected across the line y = 2 and rotate 360 clockwise about (2,4).
Then the correct option is B.
More about the transformation of a point link is given below.
brainly.com/question/27224339
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Answer:
1) The value of c is given by
2) The value of k is given by
Step-by-step explanation:
Given that function g is defined by 
, where c is a constant.
To find c:
Also given that value of g(x) at x=0.5 is equal to -1
ie., 
At x=0.5
Therefore
2) Given that function h is defined by 
, where k is a constant.
To find k:
Also given that value of h(x) at x=20 is equal to 65
ie., 
At x=20
Therefore
