Since the minimum value is 0 and axis of symmetry is -2 this means that the vertex is at -2,0 now with the y intercept of 4. You can now plug the values into Vertex form which will be y=a(x-h)^2+k. a being the shrink or stretch of the parabola, h being the x value of the vertex, and k being the y value of the vertex. with all of that plugged in it should look like y=(x+2)^2. You can check this equation by plugging in 0 as x which should find the y intercept of 4. So it should then look like y=(0+2)^2 -> y=(2)^2 -> y=4
Answer:
x < -4 ∪ x > 4
Step-by-step explanation:
The absolute value function is shifted down 3 units. The solution space is values of x where y = |x|-3 is greater than 1. The solution is shown in red in the attachments, and the left and right (dashed) sides of the inequality are shown in blue.
__
I personally prefer to rewrite the inequality so the comparison is to <em>zero</em>. That is done in the second attachment, which rewrites it to ...
|x| -4 > 0
by subtracting 1 from both sides. It is often easier to read the values of x-intercepts than it is to read the coordinate values where lines cross each other.
0 Pretend that is theta XD
cot 0 =
Find tan 0.
tan 0 = 
tan 0 = 
tan 0 = 
cot 0 =
cot 0 =
Multiply 2/√5 to the numerator and the denominator (or multiply the reciprocal of the denominator to the top and bottom of the fraction)
cot 0 = 
cot 0 =
Multiply √5 to the numerator and the denominator
cot 0 = 
cot 0 = 
This is hard to answer since I haven’t been through this situation, but I do recommend having a calm serious talk about your feelings, if he sees how serious and passionate you are about this, he may consider giving it a go.
I hope this was helpful, good luck
Answer:
Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Whichever student's GPA had the higher z-score had the best GPA compared to other students.
Thuy 2.5 3.2 0.8
This means that 
The z-score is:



Vichet 88 75 20
This means that 
The z-score is:



Kamala 8.9 8 0.4
This means that 
The z-score is:



Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.