MATHEMATICS HIGH SCHOOL

Describe the translation of the graph of y = x2 that results in the graph of y = (x - 3)2. left 3 units
right 3 units
down 3 units
up 3 units

Answers

Answer 1

Answer:

Answer:

Shift right by 3 units.

Second option is correct.

Step-by-step explanation:

The parent function is given by $y=x^2$

The translated function is $y=(x-3)^2$

The transformation rule is:

When we subtract some constant "c" to the x values of the function f(x) then the graph will shift right by "c" units. And the transformation function would be f(x-c).

Now, here 3 is subtracted in the x value of the parent function $y=x^2$ to get the function $y=(x-3)^2$

Therefore, the graph of the transformation function would shift right by 3 units.

We can see it in the attached graph as well. The vertex of the parabola $y=x^2$ is at (0,0) and the vertex of the parabola $y=(x-3)^2$ is at (3,0).

It means that graph has shifted 3 units to the right.

Second option is correct.

Answer 2

Answer: Right 3 units is right out of the options given

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Answers

I would start by evaluating f(g(x)) and g(f(x)) f(g(x)) = f(6x+2) = 2(6x+2) + 3 = 12x + 4 + 3 = 12x + 7 can you evaluate g(f(x)) ?

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3
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Answers

Answer:

the answer would be 4/6

Step-by-step explanation:

because u multipy 2 by 2 and 3 by 2, then get 4/6

There are 3 times as many used bikes in the showroom as there as new bikes. There are 164 bikes total in the showroom. How many new bikes are in the showroom

Answers

Number of new bike in showroom is 41 bikes.

Given that;

Total number of bikes in showroom = 164 bikes

3 times Number of new bike = Number of old bikes

Find:

Number of new bikes in showroom

Computation:

Assume;

Number of new bike = a

So,

Number of old bike = 3a

So,

a + 3a = 164

4a = 164

a = 41

So,

Number of new bike = 41

Learn more:

brainly.com/question/16918813?referrer=searchResults

Answer:

Step-by-step explanation:

There are 3 times as many used bike as new bike. For the problem to work you have to include the used bikes and the new bikes. So you divide 164 by 4 instead of three.

So 164/3=41

In the exponential growth formula, P= (Psubscript0) (r) ^t , t represents...(A) the initial population
(B) the population after time
(C) the rate of increase
(D) the time

Answers

Answer:

It's D.

Step-by-step explanation:

D. The t s the time where t = 0 corresponds to the initial population.

The perimeter of a triangle is 42 yards. The first side is 5 yards less than the second side, and the third side is 2 yards less than the first side. What is the length of each side?

Answers

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