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stiks02 [169]
4 years ago
13

Identify the graph of g(x)=(x−7)2−1. Then identify the vertex and axis of symmetry.

Mathematics
1 answer:
statuscvo [17]4 years ago
6 0

Answer:

The line of the symmetry  x=7

The vertex (7,-1)

Step-by-step explanation:

The graph of the function g(x)=(x-7)^2-1 is a parabola (see attached diagram for details)

Consider the parent function f(x)=x^2. To get the graph of the function g(x), we need to translate the graph of the function f(x) seven units to the right and 1 unit down.

The line of the symmetry of the parent function is x=0 and the vertex is at (0,0). After the translation, the line of the symmetry becomes x=7 and the vertex (7,-1).

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Read image for instructions
Oliga [24]

The last part answers the first part for you, just look at the y-values.

In other words:

<em>A'</em><em> </em>(-8, 2)

<em>B'</em> (-4, 3)

<em>C'</em> (-2, 8)

<em>D'</em> (-10, 6)

Explanation:

When you reflect any point over the x-axis, the y-value of the ordered pair is going to change.

This makes sense especially considering that the x-axis is horizontal, so the only way you could cross is to move up or down. If you were to move left or right, you'd only be able to cross the y-axis, since it's vertical.

Now for the last part, as I mentioned above, if you are reflecting across the y-axis, the x-values of the ordered pair is going to change.

<em>A'</em><em>'</em> (8, 2)

<em>B'</em><em>'</em> (4, 3)

<em>C'</em><em>'</em> (2, 8)

<em>D'</em><em>'</em> (10, 6)

Take note that the only thing that changes for the respective value is its sign, while the number itself stays the same.

3 0
3 years ago
Match the polynomial in the left column with its descriptive feature in the right column.
steposvetlana [31]

Given:

5a^2b^3

To find the degree of the polynomial:

The degree of the given polynomial is, 2+3=5

So, the given polynomial is a fifth-degree polynomial.

Thus, the answer is a fifth-degree polynomial.

6 0
1 year ago
Lucas bought a package of baseball cards for $0.70. His friend bought 3 times as many packages. How much did his friend spend?
kodGreya [7K]

Answer:  $2.10

Step-by-step explanation:

4 0
2 years ago
you want to order carpet for an area in your house the room the room measures 12x10 feet remember A=LxW
Fantom [35]

Answer:

The carpet would have to be 120 square feet.

Step-by-step explanation:

12x10 equals 120.


Hope this helps.

7 0
4 years ago
Read 2 more answers
On August 7, 2007 Barry Bonds hit his 756th home run, breaking the all-time career home run record, formerly held by Hank Aaron.
svp [43]

From the stemplot, it can be taken that:

Both were very consistent home run hitters, due to the great amount of seasons with at least 20 home runs. Bonds had the biggest outlier, with a season of 73 home runs, while Aaron distribution was less spread.

-------------------------------

  • From the stemplot, it can be taken that Bonds had the biggest outlier, which was the season with 73 home runs.
  • His season with the lowest amount of home runs was also less than Aaron, as he had a 5 home run season while Aaron lowest amount was 10.
  • They both had a lot of seasons with at least 20 home runs, so both very consistent.

Thus, we can take that:

Both were very consistent home run hitters, due to the great amount of seasons with at least 20 home runs. Bonds had the biggest outlier, with a season of 73 home runs, while Aaron distribution was less spread.

A similar problem is given at brainly.com/question/24341344

4 0
3 years ago
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