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sergij07 [2.7K]
3 years ago
13

Find the vertex of y=x

} - 8x + 18" alt="x ^{2} - 8x + 18" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Allisa [31]3 years ago
5 0

Step-by-step explanation:

The x-coordinate of the vertex can be found by the formula − b 2 a, and to get the y value of the vertex, just substitute − b 2 a, into the Finding Vertex from Vertex Form It's called 'vertex form' for a reason! The vertex is just (h,k) from the equation.

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Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D
Andrei [34K]

Answer:

Second option: On a coordinate plane, rectangle A'B'C'D' prime has points (-4,4),(12,4),(12,-4),(-4,-4)

(See the graph attached)

Step-by-step explanation:

For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.

In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image)  are the following:

A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image)  that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.

7 0
4 years ago
Read 2 more answers
I HAVE LIKE 2 MORE QUESTIONS, HELP ME PLZ!
Ne4ueva [31]

Given:

Base length of triangle = 10 units

Height of triangle = \sqrt{44} units

Length of hypotenuse of triangle = 12 units

To find:

Exact value of Cos A

Steps:

The cosine of any angle is equal to the length of the adjacent side by the length of the hypotenuse side.

So,

Cos A = \frac{adjacent}{hypotenuse}

Cos A = \frac{10}{12}

Cos A = 0.833

Therefore, the exact value of cos A is 0.833.

Happy to help :)

If u need any help, feel free to ask

5 0
3 years ago
What is the measure of jml?
stellarik [79]
I don’t get it but I would like to help tho
7 0
4 years ago
8936245x18463 brainlist to who gets this right
storchak [24]
164989891435 I think lol
8 0
3 years ago
How does the equation h(x)=-(x,-3)2 + 4 compare to the graph of g(x)=x2?
Keith_Richards [23]

Answer:

option A

Step-by-step explanation:

The curve h(x)=-(x,-3)2 + 4 has a negative coeff for the degree e term. So the curve ud opened downward

To express the function in normal form,

H = -SQ(X) + 6X - 5

So the y intercept is -5

To find the roots of H

H = -SQ(X) + 6X - 5

(x-1)(x-5) = 0

so the curve has x intercept at 1 and 5

Thus the max point is at x=3

so the curve is shift right by 3 units

{ the function g(x)=x2 has turning point (0, 0) }

since the max point is at x=3, sub x=3 into the function H,

the max point is (3, 4)

So the function H is shift up by 4 unit

4 0
3 years ago
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