Given:
A parabola opens up or down and its vertex is at the point (h, v).
To find:
The equation of the parabola.
Solution:
A parabola opens up or down. It means it is a vertical parabola.
The vertex form of a vertical parabola is
...(i)
Where, a is constant and (h,k) is vertex.
The vertex of given parabola is at point (h,v). Putting h=h and k=v in (i), we get

The required equation of the parabola is
.
Therefore, the correct option is A.
A. the graph represents a relation because it contains ordered pairs (x,y). It is also a function because there are no repeating x values.
B. (0,0) (8,6)
slope = (6 - 0 ) / (8 - 0) = 6/8 = 3/4
so ur equation is : y = 3/4x or f(x) = 3/4x <===
C. the variable x represents the height of the building and the variable y (or f(x)) represents the total length of the shadow
The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.
<u>Interquartile Range: </u>
Given the Data -> First Quartile = 2, Third Quartile = 5
Interquartile Range = 5 - 2 = 3
<u>Range:</u> 8 - 1 = 7
<u>Variance: </u>
We start by determining the mean,

n = number of numbers in the set
Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.

5.3
<u>Standard Deviation</u>
We take the square root of the variance,

2.3
If you are not familiar with variance and standard deviation, just leave it.
Answer:
The greenhouse effect is the process by which radiation from a planet's atmosphere warms the planet's surface to a temperature above what it would be without this atmosphere.So following options are correct options
- slowly increasing global temperature
- caused when atmospheric gases trap heat
- increasing because of carbon dioxide emissions
Answer:
Option D. All values of x make the equation true
Step-by-step explanation:
<u><em>The options of the question are</em></u>
a.The result is not correct because Step 2 has an error.
b.The solution is x=7.
c.No values of x make the equation true.
d.All values of x make the equation true
we have the equation

solve for x
Apply distributive property right side

Combine like terms

subtract 4x both sides

The equation has infinity solutions
.All values of x make the equation true