To find the y-coordinate points we need to evaluate the function for all the $x$ values in the table. In other words, we need to replace $x$ with each value in our given function and simplify.

- For x = 0

$f(x)=(x-2)^2-5$

$f(0)=(0-2)^2-5$

$f(0)=(-2)^2-5$

$f(0)=4-5$

$f(x)=-1$

Since $x=0$ and $y=-1$ , our first point is (0, -1)

- For x = 1

$f(x)=(x-2)^2-5$

$f(1)=(1-2)^2-5$

$f(1)=(-1)^2-5$

$f(1)=1-5$

$f(x)=-4$

Our second point is (1, -4)

- For x = 2

$f(x)=(x-2)^2-5$

$f(2)=(2-2)^2-5$

$f(2)=(0)^2-5$

$f(x)=-5$

Our third point is (2, -5)

- For x = 3

$f(x)=(x-2)^2-5$

$f(3)=(3-2)^2-5$

$f(3)=(1)^2-5$

$f(3)=1-5$

$f(x)=-4$

Our fourth point is (3, -4)

- For x = 4

$f(x)=(x-2)^2-5$

$f(4)=(4-2)^2-5$

$f(4)=(2)^2-5$

$f(4)=4-5$

$f(x)=-1$

Our fifth point is (4, -1)

Now we just need to plot each point in our coordinate plane and join them with the parabola as you can see in the attached picture.

3 0

3 years ago

Bill has these expenditures for his utilities: December,

Brrunno [24]

The average monthly expenses for Bill's utilities is $266.67.

It is given in the question that:-

Expenditure in December by Bill = $ 234.45

Expenditure in January by Bill = $ 281.23

Expenditure in February by Bill = $ 284.33

We have to find the average monthly expenses for Bill's utilities.

We know that,

Average monthly expense for utilities = (Expenditure in December + Expenditure in January + Expenditure in February)/3

Hence, using the data given in the question, we can write,

Average monthly expense for utilities = (234.45 + 281.23 + 284.33)/3

Average monthly expense for utilities = 800.01/3 = $266.67

To learn more about average, here:-

brainly.com/question/24057012

#SPJ1

6 0

1 year ago

Use the linear combination method to solve the system of equations. –3x + 8y = 16 3x + 4y = 8 What is the value of x? –1 0 1 2

4vir4ik [10]

Answer:

B. 0

Step-by-step explanation:

Your welcome :)

7 0

3 years ago

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