we are given a function
First translation:
The graph of function is vertically stretched by a factor of 7
Whenever we vertically stretch any function by 'a' units
so, we can write it as
Here, it is vertically stretch by 7
so, we get
Second translation:
Whenever we reflect any function about x-axis
we multiply y-value by -1
so, we can write it as
Here , it is reflected in the x-axis
so, we can multiply by -1 to y-value
we get
.............Answer
Hey there!!
Fill in the blanks :-
⇒ First graph the line. Locate the <u>value of x </u>on the x-axis. Draw a vertical line from <u>point plotted on the x-axis </u>to the graph of the function and a horizontal line segment from the graph of the function to the y-axis.
<em>Find the value of f(x) when x is -2. </em>
Remember :- <u><em>f(x) is basically the y-value. It is just denoted as _f(x), it stands for function of x. Which means, the value of y, depends upon the value of x or the function of x. </em></u>
Given : x = - 2
Plugging in the values :
...
...
...
The last fill in the blank :
The value of y on the y-axis is the value of the function. Therefore, the value of f(x) is <u>-7 </u>when x is -2.
Hope it helps!!