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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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A line passes through the point (0, –4) and has a slope of 2003-09-03-00-00_files/i0090000.jpg. What is the equation of the line
V125BC [204]
A line always has a general equation of y = mx + b where m is the slope of the line and b is the y-intercept. Slope is the rise of one point per run and the y-intercept is the value of y when x is 0. So, the equation should be,

y = (rise/run) x - 4
6 0
3 years ago
Which statements are true for solving the equation 0.5 – |x – 12| = –0.25? Check all that apply.
Trava [24]

we have  

0.5-\left|x-12\right|=-0.25  

we know that        

The absolute value has two solutions

Subtract  0.5 both sides

-\left|x-12\right|=-0.25-0.5  

-\left|x-12\right|=-0.75  

Step 1

Find the first solution (Case positive)

-[+(x-12)]=-0.75

-x+12=-0.75

Subtract  12 both sides

-x+12-12=-0.75-12

-x=-12.75

Multiply by -1 both sides

x=12.75

Step 2

Find the second solution (Case negative)

-[-(x-12)]=-0.75

x-12=-0.75

Adds  12 both sides

x=-0.75+12

x=11.25

<u>Statements</u>

<u>case A)</u> The equation will have no solutions

The statement is False

Because the equation has two solutions------> See the procedure

<u>case B)</u> A good first step for solving the equation is to subtract 0.5 from both sides of the equation

The statement is True ----->  See the procedure

<u>case C)</u> A good first step for solving the equation is to split it into a positive case and a negative case

The statement is False ----->  See the procedure

case D) The positive case of this equation is 0.5 – |x – 12| = 0.25

The statement is False

Because the positive case is 0.5-(x-12)=-0.25 -----> see the procedure

case E) The negative case of this equation is x – 12 = –0.75

The statement is True -----> see the procedure

<u>case F)</u> The equation will have only 1 solution

The statement is False

Because The equation has two solutions------> See the procedure


4 0
3 years ago
Read 2 more answers
How do you know (2, 1) is a solution to 4x+y=9?
vichka [17]

Answer:

2. When substituting x=2 and y=1 into the equation, you get a true statement.

<em>Hope this helps you.</em>

3 0
3 years ago
Can someone tell me the right answer to this question plsss and thank you
Valentin [98]

my answer here would either be A) or C)

6 0
3 years ago
Nine less than the product of three and the number x is equal to one-half the sum of x and 12
Lesechka [4]
The product of 3 and x is 3x and the given above can be expressed as, 
 
                             3x - 9 = (1/2)(x + 12)

I assume that the problem asks for the value of x. Solving for x in the equation above gives x = 6. 

Thus, the answer is 6. 
4 0
3 years ago
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