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Len [333]
3 years ago
14

Choose the correct equation for the parabola based on the given information. Given: Focus:(4,-3) Vertex: (-2,-3) a. 24(y+3) = (x

+2)^2 b. 24(x+2)=(y+3)^2 c. 6(x-4)= (y+3)^2 d. 6(y+3)=(x-4)^2
Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0

Answer:  b.  24(x + 2) = (y + 3)²

<u>Step-by-step explanation:</u>

Vertex: (-2, -3)

Focus:  (4, -3)

                  ↓

                same y-value so equation will be y²

Equation: a(x - h) = (y - k)²

  • a = 4p where p is the distance from Vertex to Focus
  • h is the x-coordinate of the Vertex
  • k is the y-coordinate of the Vertex

Given: h = -2,  k = -3,   a = 4[4 - (-2)] --> a = 24

Input those values into the equation:  24(x + 2) = (y + 3)²

 

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Answer:

8, 40 , 50

Step-by-step explanation:

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Answer:

d = \frac{78.24 -66.25}{\sqrt{\frac{7^2 +7^2}{2}}}= 1.713

For the interpretation we consider a value for d small is is between 0-0.2, medium if is between 0.2-0.8 and large if is higher than 0.8.

And on this case 1.713>0.8 so we have a large effect size

This value of d=1.713 are telling to us that the two groups differ by 1.713 standard deviation and we will have a significant difference between the two means.

Step-by-step explanation:

Previous concepts

The Effect size is a "quantitative measure of the magnitude of the experimenter effect. "

The Cohen's d effect size is given by  the following formula:

d = \frac{\bar X_1 -\bar X_2}{\sqrt{\frac{s^2_1 +s^2_2}{2}}}

Solution to the problem

And for this case we can assume:

\bar X_1 =78.24 the mean for females

\bar X_2 =66.25 the mean for males

s_1 = s_2= 7 represent the deviations for both groups

And if we replace we got:

d = \frac{78.24 -66.25}{\sqrt{\frac{7^2 +7^2}{2}}}= 1.713

For the interpretation we consider a value for d small is is between 0-0.2, medium if is between 0.2-0.8 and large if is higher than 0.8.

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