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Flauer [41]
3 years ago
5

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the grap

h?
Mathematics
2 answers:
svetlana [45]3 years ago
7 0
The vertex is (-2, -9)
Lisa [10]3 years ago
7 0

Answer:

The coordinates of the vertex of parabola are (-2,-9).

Step-by-step explanation:

The given function is

f(x)=x^2+4x-5

The vertex of a parabola lies on its axis of symmetry. Since the axis of symmetry is x=-2, tt means the x-coordinate of vertex is -2.

Let the vertex of parabola is (-2,y).

Substitute x=-2 in the given function to find the y-coordinate of vertex.

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

y=4-8-5

y=-9

Therefore the coordinates of the vertex of parabola are (-2,-9).

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Rectangle WXYZ was dilated to create W'X'Y'Z'.
Snezhnost [94]

You did not attach any picture to solve this problem. We cannot calculate for the value W’X’ without the correct illustrations. However, I think I found the correct one (see attached), please attach it next time.

So the first thing we have to do is to calculate for the dilation factor. Taking point G as the reference point, we can see that the distance of point G from rectangle W’X’Y’Z’ is 1.5 while the distance from rectangle WXYZ is (1.5 + 7.5), therefore the dilation factor to use is:

dilation factor = 1.5 / (1.5 + 7.5) = 1.5 / 9 = 1/6

 

Since WX has an initial measure of 3 units, therefore the measure of W’X’ is:

W’X’ = 3 units * (1/6) = 0.5 units

 

Answer:

<span>0.5 units</span>

4 0
2 years ago
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OLga [1]
The answers to the questions

7 0
3 years ago
Tired of WRESTLING, need you to pend this problem to the canvas... -1/2~3/4= ? "Divide"
Alexxx [7]

-2/3 is the simplified form of the expression -1/2 ÷ 3/4.

<h3>What is the simplified form of the given expression?</h3>

Given the expression in the question;

-1/2 ÷ 3/4

To divide by a fraction, multiply by its reciprocal.

-1/2 ÷ 3/4

Reciprocal of 3/4 is 4/3

Hence

-1/2 × 4/3

Next, we cancel out the common factor of 2

Factor out 2 from 4

-1/2 × 2(2)/3

-1/1 × 2/3

( -1 × 2 ) / ( 1 × 3 )

(-2) / (3)

-2/3

Therefore, the simplified form is -2/3

Learn how to solve more fraction problems here: brainly.com/question/1627825

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pashok25 [27]
I think the answer is <span>0.123 cm</span>
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What is a number increased by 7 multiplied by 4?
Lana71 [14]

Answer:

9?

Step-by-step explanation:

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