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cestrela7 [59]
3 years ago
12

How is the graph of y=4(2)^x+3 translated from the graph of y=4(2)^x

Mathematics
2 answers:
Pie3 years ago
7 0

Answer:

Vertical movement: Move up 3 units

or

Horizontal movement: Move left 3 units

Step-by-step explanation:

If your parent equation is f(x) = 4(2)^{x} and your child equation is f(x) = 4(2)^{x} + 3, then it has vertically moved up 3 units.

If your parent equation is f(x) = 4(2)^{x} and your child equation is f(x) = 4(2)^{x+3}, then it has moved horizontally left 3 units.

Vera_Pavlovna [14]3 years ago
5 0

Answer:

Translation upwards of 3 units.

Step-by-step explanation:

The + 3 moves the whole graph up 3 units.

f(x) ---> f(x) + 3.

( I have assumed that The + 3 is not part of the exponent).

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Triangle E D F has sides that are of varying lengths. Side E D has a length of 4 and side E F has a length of 9.
9966 [12]

Answer:

D E + E F greater-than D F

5 less-than D F less-than 13

Triangle D E F is a scalene triangle

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

we have the triangle EDF

where

ED=4\ units\\EF=9\ units

<u><em>Applying the triangle inequality theorem</em></u>

1)

ED+EF > DF\\4+9 > DF\\13 > DF\\DF < 13\ units

2)

ED+DF > EF\\4+DF > 9\\DF > 5\ units

so

The length of DF is the interval -----> (5,13)

The triangle DEF is a scalene triangle (the three length sides are different)

therefore

<em>The statements that are true are</em>

D E + E F greater-than D F

5 less-than D F less-than 13

Triangle D E F is a scalene triangle

3 0
3 years ago
Read 2 more answers
Segment AB has endpoints with coordinates A: (-4, -7) and B: (8, -4). Determine the value of the x-coordinate of the interior po
Nadusha1986 [10]

Answer:

 ≈ <em>3.4</em><em> </em>

Step-by-step explanation:

Coordinates of the point that divide segment with endpoints A( x_{1} , y_{1} ) and B( x_{2} , y_{2} ) in a ratio a : b are

\frac{bx_{1} +ax_{2} }{a+b} , \frac{by_{1} +ay_{2} }{a+b} )

A(- 4, - 7)

B(8, - 4)

Ratio 8 : 5

x-coordinate is \frac{5(-4)+8(8)}{8+5} = \frac{44}{13} ≈ <em>3.4</em>

3 0
3 years ago
Suppose the diameter of a circle is 4 units. What is its circumference?
Murrr4er [49]
12.5663706144 or yes, 12.57
3 0
3 years ago
Jerry makes $300 per month but always runs out of money. He has $85 in fixed expenses and $60 in variable expenses that must be
cupoosta [38]

Answer: 155

Step-by-step explanation:

$300-$85-$60= $155

3 0
2 years ago
The plan of terrace is shown at right. the scale is 2 inches: 6 feet.
Orlov [11]
Sorry wish I could help but I need to see the picture to answer the question. Sorry  :-(
5 0
3 years ago
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