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Using translation concepts, the equation of g(x) is given as follows:
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the parent function is given by:
For a horizontal compression by a factor of 1/5, we have to find f(1/5x), hence:
For a vertical stretch by a factor of 7, we have to multiply by 7, hence:
For a reflection in the y-axis, we have to find g(-x), hence:
For a translation of 10 units left, we have to find g(x + 10), hence:
For a translation of 1 unit down, we have to subtract one, hence:
More can be learned about translation concepts at brainly.com/question/28174785
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Answer:
f = 10, g = 4.8 cm
Step-by-step explanation:
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
So,
Area of ADE = 60-48
=> 12 cm²
Area of ADE =
<u><em>Where Area = 12 cm², Base = 4 cm</em></u>
12 =
Height = 12-2
Height = 10 cm
Where Height is AD
So, AD = 10 cm
Also, <u><em>AD is parallel and equal to BC</em></u><u><em></em></u>
So,
f = 10 cm
<u><em>Now, Finding g</em></u>
Area of ABCD =
<u><em>Where Area = 48 cm², Base = 10 cm</em></u>
48 = 10 * Height
Height = 48/10
Height = 4.8 cm
Whereas, Height is g
So, g = 4.8 cm