Let f(x)=7^x and g(x)=7^x+2-4. Which transformations are needed to transform f(x) to the graph g(x)?
1 answer:
Answer:
4. vertical translation 4 units down
6. horizontal translation 2 units to the right
Step-by-step explanation:
Given and
1. Adding 2 to x means horizontal translation 2 units to the right.
2. Subtracting 4 from the function means vertical translation 4 units down.
So, to transform the graph of the function f(x) to the graph of the function g(x), you need to translate the graph of the function f(x) horizontally 2 units to the right and vertically 4 units down.
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Answer:
1. Area of the triangle is .
2. 2 gallons of paint will you need to cover 224 sq.ft
3. Volume of the following solid(to the nearest tenth), is 580.1 .
4. The area cover is 242 sq. ft.
5. The sides of the triangle on the drawing should be 6, 8, and 9 inch
Step-by-step explanation:
1.
<u>Given:</u>
Base of the triangle(b) is 16 m
and altitude of the triangle(h) is 12 m.
To find the Area of the triangle(A), given by;
Therefore, the Area of the triangle is .
2.
Given: You wish to paint a storage shed. Its four walls measure 7 ft. high and 8 ft. wide each.
First find the area(A) of one wall.
where b is the width and h is the height of the wall.
=
.
Now, area for four walls is,
Since, one gallon of paint covers 160 sq. ft or we can say that 160 sq. ft cover in one gallon of paint.
for 224 sq ft cover in , gallon of paint
2 gallons of paint will you need to cover 224 sq.ft.
3.
Given: A rectangular solid has sides of 10.5 cm, 6.5 cm, and 8.5 cm
length (l)=10.5 cm
breadth(b)=6.5 cm
height(h)=8.5 cm
Volume of rectangular solid(V) is given by,
Therefore, the volume of the following solid(to the nearest tenth), is 580.1 .
4.
Given: You are laying an asphalt driveway. if the driveway is 22 feet long and 11 feet wide.
length(l)=22 ft
Wide(w)= 11 ft
Area cover (A) is given by,
Therefore, the area cover is 242 sq. ft.
5.
Given: A triangle with sides 12 feet, 16 feet, and 18 feet on a drawing
Use: 1 inch = 2 feet.
Convert each sides of a triangle into inches.
12 feet
1 inch = 2 feet
12 feet = 6 inch
similarly, others sides 16 feet = 8 inch and 18 feet = 9 inch
Therefore, the sides of the triangle on the drawing should be 6 inch, 8 inch, and 9 inch