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raketka [301]
3 years ago
7

Can someone do the whole thing

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

1

Step-by-step explanation:

y=mx+b,  equation for slope-intercept line

we can work out the equation based on given two points (1,1) and (7,4)

  • m=(y2-y1)/(x2-x1)= (4-1)/(7-1)= 3/6= 1/2

y=1/2x+b

For (1,1)

  • 1= 1/2+b ⇒ b= 1/2

For (7,4)

  • 4=7*1/2+b ⇒ b= 1/2

So we get

  • y= 1/2x+1/2

The answer is 1 for question mark

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The rule for g(x) is: f(x) = (x-3)^2-3

Step-by-step explanation:

Given function is:

f(x) = x^2

When a function f(x) is shifted right or left, b units the new function is written as:

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Shifting right

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Similarly, when shifting up or down

g(x) = f(x)+b => Up\\g(x) = f(x) - b => Down

As our given function is shifted 3 units to the right, it will be written as:

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The rule for g(x) is: f(x) = (x-3)^2-3

Keywords: Function transformation, Functions

Learn more about functions at:

  • brainly.com/question/10364988
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