Explain the transformation rules for the graph of y=2|x-2|+5

1 answer:

7 0

1) Graph f(x) = |x|

Observe that y = 2|x - 2| + 5 = 2f(x) + 5

So, these are the transformation rules that you can use:

2) shift the graph 2 units to the rigth: because |x - 2| is f(x - 2)

3) dilate the function (stretch vertically) multiplying by 2

4) shift the graph 5 units upward: because adding a constant to the function moves the graph upward the same amount of units as the value of the constant.

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Artist 52 [7]

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3 years ago

Can someone please clearly and correctly work out Q19? Would appreciate it a lot! :)

DiKsa [7]

$x^{2} +10x+30$
I always start by moving the last term to the other side
$x^{2} +10x=-30$
To complete the square you take term 'b' , divide it by 2 then square it
$( \frac{10}{2} )^2$ = 25
We have to add 25 to what we have and what you do to one side you have to do to the other
$x^{2} +10x+25=-30+25$
$x^{2} +10x+25=-5$
Now we factor what is on the left side of the equation
$(x+5)^2=-5$
The last step is to move our right side of the equation back over
$(x+5)^2+5$ - which is your answer :)))

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3 years ago

james tailoring service charges a flat rate of $20 and charges an additional $12 per hour when making a tailored suit. how much

jeka94

Answer:

It will cost Mr. Smith $68 to make his suit.

Step-by-step explanation:

Since the charge $12 per hour, and it takes 4 hours to make the suit, then we need to multiply 12 by 4.

12 × 4 = 48

Now we need to add the flat rate since that is the initial charge for service.

48 + 20 = 68

This means it will cost Mr. Smith a total of $68 for his suit.